{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will model price for all categories. Our estimate of the parameter of product price can be considered a prediction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "import arviz as az\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pystan\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "from theano import shared\n",
    "from sklearn import preprocessing\n",
    "\n",
    "plt.style.use('bmh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('train.tsv', sep = '\\t')\n",
    "df = df.sample(frac=0.01, random_state=99)\n",
    "df = df[pd.notnull(df['category_name'])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 14760 entries, 800927 to 20724\n",
      "Data columns (total 8 columns):\n",
      "train_id             14760 non-null int64\n",
      "name                 14760 non-null object\n",
      "item_condition_id    14760 non-null int64\n",
      "category_name        14760 non-null object\n",
      "brand_name           8534 non-null object\n",
      "price                14760 non-null float64\n",
      "shipping             14760 non-null int64\n",
      "item_description     14760 non-null object\n",
      "dtypes: float64(1), int64(3), object(4)\n",
      "memory usage: 1.0+ MB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "689"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.category_name.nunique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shipping_0 = df.loc[df['shipping'] == 0, 'price']\n",
    "shipping_1 = df.loc[df['shipping'] == 1, 'price']\n",
    "fig, ax = plt.subplots(figsize=(10,5))\n",
    "ax.hist(shipping_0, color='#8CB4E1', alpha=1.0, bins=50, range = [0, 100],\n",
    "       label=0)\n",
    "ax.hist(shipping_1, color='#007D00', alpha=0.7, bins=50, range = [0, 100],\n",
    "       label=1)\n",
    "plt.xlabel('price', fontsize=12)\n",
    "plt.ylabel('frequency', fontsize=12)\n",
    "plt.title('Price Distribution by Shipping Type', fontsize=15)\n",
    "plt.tick_params(labelsize=12)\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Home/Home Décor/Home Décor Accents                                 151\n",
       "Women/Jeans/Slim, Skinny                                           150\n",
       "Women/Jewelry/Bracelets                                            150\n",
       "Women/Swimwear/Two-Piece                                           143\n",
       "Men/Shoes/Athletic                                                 141\n",
       "Women/Shoes/Sandals                                                139\n",
       "Women/Women's Handbags/Shoulder Bag                                139\n",
       "Kids/Toys/Dolls & Accessories                                      130\n",
       "Women/Jewelry/Earrings                                             119\n",
       "Women/Women's Accessories/Wallets                                  119\n",
       "Kids/Toys/Action Figures & Statues                                 118\n",
       "Women/Shoes/Athletic                                               114\n",
       "Women/Women's Handbags/Totes & Shoppers                            112\n",
       "Women/Sweaters/Hooded                                              103\n",
       "Home/Kitchen & Dining/Coffee & Tea Accessories                      98\n",
       "Beauty/Skin Care/Body                                               97\n",
       "Women/Sweaters/Cardigan                                             96\n",
       "Women/Shoes/Fashion Sneakers                                        94\n",
       "Women/Underwear/Panties                                             92\n",
       "Women/Jewelry/Rings                                                 90\n",
       "Women/Tops & Blouses/Tunic                                          89\n",
       "Electronics/Cell Phones & Accessories/Cell Phones & Smartphones     89\n",
       "Kids/Girls 2T-5T/Shoes                                              87\n",
       "Women/Shoes/Pumps                                                   87\n",
       "Other/Other/Other                                                   85\n",
       "Women/Women's Handbags/Messenger & Crossbody                        84\n",
       "Electronics/Media/DVD                                               82\n",
       "Women/Sweaters/Crewneck                                             82\n",
       "Women/Athletic Apparel/Jackets                                      82\n",
       "Electronics/Cell Phones & Accessories/Cell Phone Accessories        79\n",
       "                                                                  ... \n",
       "Beauty/Makeup/Makeup Remover                                         1\n",
       "Men/Coats & Jackets/Parka                                            1\n",
       "Electronics/Video Games & Consoles/Strategy Guides                   1\n",
       "Handmade/Bags and Purses/Hip Bag                                     1\n",
       "Women/Pants/Leather                                                  1\n",
       "Electronics/Computers & Tablets/Desktops & All-In-Ones               1\n",
       "Kids/Health & Baby Care/Nail Care                                    1\n",
       "Kids/Gear/Playards                                                   1\n",
       "Handmade/Children/Clothing                                           1\n",
       "Kids/Diapering/Wipes & Holders                                       1\n",
       "Kids/Feeding/Pillows & Stools                                        1\n",
       "Women/Coats & Jackets/Wool                                           1\n",
       "Home/Kitchen & Dining/Kitchen Knives & Cutlery Accessories           1\n",
       "Vintage & Collectibles/Trading Cards/Action, Adventure               1\n",
       "Handmade/Art/Mixed Media                                             1\n",
       "Home/Home Décor/Clocks                                               1\n",
       "Home/Artwork/Paintings                                               1\n",
       "Home/Storage & Organization/Laundry Storage & Organization           1\n",
       "Men/Sweats & Hoodies/Track Jacket                                    1\n",
       "Vintage & Collectibles/Clothing/Tshirt                               1\n",
       "Women/Jeans/Relaxed                                                  1\n",
       "Women/Sweaters/Shrug                                                 1\n",
       "Vintage & Collectibles/Toy/Animal                                    1\n",
       "Sports & Outdoors/Exercise/Strength training                         1\n",
       "Other/Musical instruments/DJ, Electronic Music & Karaoke             1\n",
       "Beauty/Hair Care/Other                                               1\n",
       "Handmade/Others/Other                                                1\n",
       "Men/Jeans/Other                                                      1\n",
       "Handmade/Woodworking/Supplies                                        1\n",
       "Handmade/Crochet/Supplies                                            1\n",
       "Name: category_name, Length: 669, dtype: int64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.category_name.value_counts()[20:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# df = df[(df.category_name == 'Women/Athletic Apparel/Pants, Tights, Leggings') | (df.category_name == 'Women/Tops & Blouses/T-Shirts') | (df.category_name == 'Beauty/Makeup/Face') | (df.category_name == 'Beauty/Makeup/Lips') | (df.category_name == 'Electronics/Video Games & Consoles/Games') | (df.category_name == 'Electronics/Cell Phones & Accessories/Cases, Covers & Skins') | (df.category_name == 'Beauty/Makeup/Eyes') | (df.category_name == 'Beauty/Fragrance/Women') | (df.category_name == 'Women/Dresses/Above Knee, Mini') | (df.category_name == 'Women/Underwear/Bras')]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\"shipping == 0\" means shipping fee paid by buyer, and \"shipping == 1\" means shipping fee paid by seller. In general, price is higher when buyer pays shipping."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "category_name                                 shipping\n",
       "Beauty/Bath & Body/Bath                       0            20.162162\n",
       "                                              1            10.791667\n",
       "Beauty/Bath & Body/Bathing Accessories        0            14.000000\n",
       "                                              1            21.000000\n",
       "Beauty/Bath & Body/Cleansers                  0            20.200000\n",
       "                                              1            14.500000\n",
       "Beauty/Bath & Body/Scrubs & Body Treatments   0            15.250000\n",
       "                                              1            25.666667\n",
       "Beauty/Bath & Body/Sets                       0            21.500000\n",
       "                                              1            11.000000\n",
       "Beauty/Fragrance/Candles & Home Scents        0            25.500000\n",
       "                                              1            16.727273\n",
       "Beauty/Fragrance/Kids                         0             7.000000\n",
       "                                              1             5.000000\n",
       "Beauty/Fragrance/Men                          0            30.352941\n",
       "                                              1            21.133333\n",
       "Beauty/Fragrance/Sets                         0            20.000000\n",
       "Beauty/Fragrance/Women                        0            28.079646\n",
       "                                              1            18.901786\n",
       "Beauty/Hair Care/Conditioners                 0            25.666667\n",
       "                                              1            11.500000\n",
       "Beauty/Hair Care/Hair & Scalp Treatments      0            14.600000\n",
       "                                              1            14.000000\n",
       "Beauty/Hair Care/Hair Color                   0            10.833333\n",
       "                                              1            20.500000\n",
       "Beauty/Hair Care/Hair Loss Products           1            35.000000\n",
       "Beauty/Hair Care/Other                        1            24.000000\n",
       "Beauty/Hair Care/Shampoo & Conditioner Sets   0            27.466667\n",
       "                                              1            20.250000\n",
       "Beauty/Hair Care/Shampoo Plus Conditioner     1             8.000000\n",
       "                                                             ...    \n",
       "Women/Women's Accessories/Hair Accessories    0            29.045455\n",
       "                                              1            12.344828\n",
       "Women/Women's Accessories/Hats                0            16.312500\n",
       "                                              1            14.064516\n",
       "Women/Women's Accessories/Other               0            22.866667\n",
       "                                              1             9.000000\n",
       "Women/Women's Accessories/Scarves & Wraps     0            23.235294\n",
       "                                              1           122.625000\n",
       "Women/Women's Accessories/Sunglasses          0            41.640000\n",
       "                                              1            33.150000\n",
       "Women/Women's Accessories/Wallets             0            26.119403\n",
       "                                              1            35.442308\n",
       "Women/Women's Accessories/Watches             0            47.034483\n",
       "                                              1            25.888889\n",
       "Women/Women's Handbags/Backpack Style         0            49.142857\n",
       "                                              1            28.916667\n",
       "Women/Women's Handbags/Cosmetic Bags          0            20.166667\n",
       "                                              1            13.200000\n",
       "Women/Women's Handbags/Hobo                   0            38.333333\n",
       "                                              1            35.000000\n",
       "Women/Women's Handbags/Messenger & Crossbody  0            91.042553\n",
       "                                              1            41.216216\n",
       "Women/Women's Handbags/Other                  0            22.666667\n",
       "                                              1            12.000000\n",
       "Women/Women's Handbags/Satchel                0           120.125000\n",
       "                                              1           167.571429\n",
       "Women/Women's Handbags/Shoulder Bag           0            58.116505\n",
       "                                              1           103.055556\n",
       "Women/Women's Handbags/Totes & Shoppers       0            64.835443\n",
       "                                              1            71.939394\n",
       "Name: price, Length: 1147, dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.groupby(['category_name', 'shipping'])['price'].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For construction of a Stan model, it is convenient to have the relevant variables as local copies - this aids readability.\n",
    "\n",
    "* category: index code for each category name\n",
    "* price: price\n",
    "* category_names: unique category names\n",
    "* categories: number of categories\n",
    "* log_price: log price\n",
    "* shipping: who pays shipping\n",
    "* category_lookup: index categories with a lookup dictionary "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "le = preprocessing.LabelEncoder()\n",
    "df['category_code'] = le.fit_transform(df['category_name'])\n",
    "category_names = df.category_name.unique()\n",
    "categories = len(category_names)\n",
    "category = df['category_code'].values\n",
    "price = df.price\n",
    "df['log_price'] = log_price = np.log(price + 0.1).values\n",
    "shipping = df.shipping.values\n",
    "category_lookup = dict(zip(category_names, range(len(category_names))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can explore the distribution of price (log scale) in the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.price.apply(lambda x: np.log(x+0.1)).hist(bins=25)\n",
    "plt.title('Distribution of price (log scale)')\n",
    "plt.xlabel('log (price)')\n",
    "plt.ylabel('Frequency');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conventional approaches\n",
    "\n",
    "There are two conventional approaches to modeling price represent the two extremes of the bias-variance tradeoff:\n",
    "\n",
    "#### Complete pooling:\n",
    "\n",
    "Treat all categories the same, and estimate a single price level.\n",
    "\n",
    "$$y_i = \\alpha + \\beta x_i + \\epsilon_i$$\n",
    "\n",
    "* $y_i$: measured log(price) in product $i$\n",
    "* $\\alpha$: Original price across all products in the data\n",
    "* $\\beta$: effect on measured log(price) in moving from buyer pays shipping to seller pays shipping\n",
    "* $\\epsilon_i$: error in the model prediction for product %i%\n",
    "\n",
    "\n",
    "The errors $\\epsilon_i$ may represent measurement error, temporal within-category variation, or variation among categories.\n",
    "\n",
    "To specify this model in Stan, we begin by constructing the data block, which includes vectors of log-price measurements (y) and who pays shipping covariates (x), as well as the number of samples (N).\n",
    "\n",
    "### The complete pooling model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "pooled_data = \"\"\"\n",
    "data {\n",
    "  int<lower=0> N; \n",
    "  vector[N] x;\n",
    "  vector[N] y;\n",
    "}\n",
    "\"\"\"\n",
    "pooled_parameters = \"\"\"\n",
    "parameters {\n",
    "  vector[2] beta;\n",
    "  real<lower=0> sigma;\n",
    "} \n",
    "\"\"\"\n",
    "pooled_model = \"\"\"\n",
    "model {\n",
    "  y ~ normal(beta[1] + beta[2] * x, sigma);\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When passing the code, data, and parameters to the stan function, we specify sampling 2 chains of length 1000."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_dd6a876b770652d53bdcc0546345af4b NOW.\n"
     ]
    }
   ],
   "source": [
    "pooled_data_dict = {'N': len(log_price),\n",
    "                    'x': shipping,\n",
    "                    'y': log_price}\n",
    "\n",
    "sm = pystan.StanModel(model_code=pooled_data + pooled_parameters + pooled_model) \n",
    "pooled_fit = sm.sampling(data=pooled_data_dict, iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once the fit has been run, the method extract and specifying permuted=True extracts samples into a dictionary of arrays so that  we can conduct visualization and summarization."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are interested in the mean values of these estimates for parameters from the sample. \n",
    "\n",
    "* b0 = alpha = mean common price across category\n",
    "* m0 = beta = mean variation in price with change in who pays shipping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha: 3.073095014121504, beta: -0.3673089564287129\n"
     ]
    }
   ],
   "source": [
    "pooled_sample = pooled_fit.extract(permuted=True)\n",
    "b0, m0 = pooled_sample['beta'].T.mean(1)\n",
    "# The fitted parameters\n",
    "print(\"alpha: {0}, beta: {1}\".format(b0, m0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We visualize how well this pooled model fits the observed data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df.shipping, np.log(df.price+0.1))\n",
    "xvals = np.linspace(-0.2, 1.2)\n",
    "plt.xticks([0, 1])\n",
    "plt.plot(xvals, m0*xvals+b0, 'r--')\n",
    "plt.title(\"Fitted model\")\n",
    "plt.xlabel(\"Shipping\")\n",
    "plt.ylabel(\"log(price)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fitted line runs through the centre of the data, and it describes the trend. However, the observed points vary widely about the fitted model, and there are multiple outliers indicating that the original price varies quite widely, and we might expect different gradients if we chose different subsets of the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The unpooled model\n",
    "\n",
    "When unpooling, we model price in each category independently. The equation:\n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta x_i + \\epsilon_i$$\n",
    "where $j = 1,\\ldots,689$\n",
    "\n",
    "* $y_i$: measured log(price) in product $i$\n",
    "* $\\alpha_{j[i]}$: original price in category $j[i]$, which is the category $j$ to which product $i$ belongs to\n",
    "* $\\beta$: effect on measured log(price) in moving from buyer pays shipping to seller pays shipping\n",
    "* $\\epsilon_i$: error in the model prediction for product %i%\n",
    "\n",
    "The errors $\\epsilon_i$ may represent measurement error, temporal within-product variation, or variation among products."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "unpooled_model = \"\"\"data {\n",
    "  int<lower=0> N; \n",
    "  int<lower=1,upper=689> category[N];\n",
    "  vector[N] x;\n",
    "  vector[N] y;\n",
    "} \n",
    "parameters {\n",
    "  vector[689] a;\n",
    "  real beta;\n",
    "  real<lower=0,upper=100> sigma;\n",
    "} \n",
    "transformed parameters {\n",
    "  vector[N] y_hat;\n",
    "\n",
    "  for (i in 1:N)\n",
    "    y_hat[i] <- beta * x[i] + a[category[i]];\n",
    "}\n",
    "model {\n",
    "  y ~ normal(y_hat, sigma);\n",
    "}\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When running the unpooled model in Stan, We again map Python variables to those used in the Stan model, then pass the data, parameters (transformed and untransformed) and the model to Stan. We again specify 1000 iterations of 2 chains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_4f36d1eee36587b9a63b136009337176 NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "unpooled_data = {'N': len(log_price),\n",
    "                 'category': category+1, # Stan counts starting at 1\n",
    "                 'x': shipping,\n",
    "                 'y': log_price}\n",
    "\n",
    "sm = pystan.StanModel(model_code=unpooled_model) \n",
    "unpooled_fit = sm.sampling(data=unpooled_data, iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspecting the fit\n",
    "\n",
    "We can extract the sample from the fit for visualisation and summarisation. This time we do not use the permuted=True option. This returns a StanFit4Model object, from which we can extract the fitted estimates for a parameter using indexing, like a dictionary, e.g. unpooled_fit['beta'], and this will return a numpy ndarray of values. For  𝛼  (a) we get a 1000x689 array, for  𝛽  (beta) we get a 1000x1 array. Mean and standard deviation (and other summary statistics) can be calculated from these."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "unpooled_estimates = pd.Series(unpooled_fit['a'].mean(0), index=category_names)\n",
    "unpooled_se = pd.Series(unpooled_fit['a'].std(0), index=category_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To inspect the variation in predicted price at category resolution, we can plot the mean of each estimate with its associated standard error. To structure this visually, we'll reorder the categories such that we plot categories from lowest to highest."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Beauty/Makeup/Body                                5.189951\n",
       "Women/Athletic Apparel/Shorts                     4.811829\n",
       "Beauty/Fragrance/Candles & Home Scents            4.749841\n",
       "Women/Athletic Apparel/Tracksuits & Sweats        4.725700\n",
       "Home/Bedding/Quilts                               4.694977\n",
       "Handmade/Children/Art                             4.613045\n",
       "Women/Tops & Blouses/Halter                       4.582723\n",
       "Beauty/Tools & Accessories/Bags & Cases           4.556083\n",
       "Kids/Girls 0-24 Mos/Swimwear                      4.534995\n",
       "Vintage & Collectibles/Trading Cards/Animation    4.482391\n",
       "dtype: float64"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unpooled_estimates.sort_values(ascending=False)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "order = unpooled_estimates.sort_values().index\n",
    "\n",
    "plt.figure(figsize=(18, 6))\n",
    "plt.scatter(range(len(unpooled_estimates)), unpooled_estimates[order])\n",
    "for i, m, se in zip(range(len(unpooled_estimates)), unpooled_estimates[order], unpooled_se[order]):\n",
    "    plt.plot([i,i], [m-se, m+se], 'b-') \n",
    "    plt.xlim(-1,690); \n",
    "plt.ylabel('Price estimate (log scale)');plt.xlabel('Ordered category');plt.title('Variation in category price estimates');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above visualization, we can see that there are multiple categories with relatively low predicted price levels, and multiple categories with a relatively high predicted price levels. Their distance can be large. A single all-category estimate of all price level could not represent this variation well, and this confirms our suspicion that a pooled estimate is likely to have significant bias."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of pooled and unpooled estimates\n",
    "\n",
    "We can make direct visual comparisons between pooled and unpooled estimates for all categories, but we are going to show several examples, and I purposely select some categories with many products, and other categories with few products."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define subset of categories\n",
    "sample_categories = ('Women/Tops & Blouses/T-Shirts', \"Women/Women's Handbags/Cosmetic Bags\", \n",
    "                   'Kids/Diapering/Diaper Bags', 'Women/Underwear/Bras', 'Beauty/Makeup/Body', \n",
    "                   'Beauty/Fragrance/Women', 'Women/Sweaters/Full Zip', 'Home/Bedding/Quilts')\n",
    "\n",
    "fig, axes = plt.subplots(2, 4, figsize=(16, 8), sharey=True, sharex=True)\n",
    "axes = axes.ravel()\n",
    "m = unpooled_fit['beta'].mean(0)\n",
    "for i,c in enumerate(sample_categories):\n",
    "    y = df.log_price[df.category_name==c]\n",
    "    x = df.shipping[df.category_name==c]\n",
    "    axes[i].scatter(x + np.random.randn(len(x))*0.01, y, alpha=0.4)\n",
    "    \n",
    "    # No pooling model\n",
    "    b = unpooled_estimates[c]\n",
    "    \n",
    "    # Plot both models and data\n",
    "    xvals = np.linspace(-0.2, 1.2)\n",
    "    axes[i].plot(xvals, m*xvals+b)  #unpooled\n",
    "    axes[i].plot(xvals, m0*xvals+b0, 'r--')  # pooled\n",
    "    axes[i].set_xticks([0,1])\n",
    "#    axes[i].set_xticklabels(['buyer pays shipping', 'seller pays shipping'])\n",
    "#    axes[i].set_ylim(-1, 3)\n",
    "    axes[i].set_title(c)\n",
    "    if not i%2:\n",
    "        axes[i].set_ylabel('log price level');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let me try to explain what the above visualizations tell us: \n",
    "\n",
    "* The pooled models (red dashed line) in every category are the same, meaning all categories are modeled the same, indicating pooling is useless.\n",
    "* For categories with few observations, the fitted estimates track the observations very closely, suggesting that there has been overfitting. So that we can't trust the estimates produced by models using few observations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial Pooling - simplest\n",
    "\n",
    "The simplest possible partial pooling model for the retail price dataset is one that simply estimates prices, with no other predictors (i.e. ignoring the effect of shipping). This is a compromise between pooled (mean of all categories) and unpooled (category-level means), and approximates a weighted average (by sample size) of unpooled category estimates, and the pooled estimates, with the equation: \n",
    "\n",
    "$$\\hat{\\alpha} \\approx \\frac{(n_j/\\sigma_y^2)\\bar{y}_j + (1/\\sigma_{\\alpha}^2)\\bar{y}}{(n_j/\\sigma_y^2) + (1/\\sigma_{\\alpha}^2)}$$\n",
    "\n",
    "* $\\hat{\\alpha}$ - partially-pooled estimate of price\n",
    "* $n_j$ - number of samples in category $j$\n",
    "* $\\bar{y}_j$ - estimated mean for category $j$\n",
    "* $\\sigma_y^2$ - s.e. of $\\bar{y}_j$, variability of the category mean\n",
    "* $\\bar{y}$ - pooled mean estimate for $\\alpha$\n",
    "* $\\sigma_{\\alpha}^2$ - s.e. of $\\bar{y}$\n",
    "\n",
    "In data:\n",
    "\n",
    "* N will be the number of samples (int)\n",
    "* category will be a list of N values from 1-689, specifying the category index each measurement\n",
    "* y will be a vector of log(price) measurements, one per product/sample\n",
    "\n",
    "We define parameters:\n",
    "\n",
    "* a (vector, one value per category), representing $\\alpha$, the vector of overall price for each category.\n",
    "* mu_a, a real corresponding to $\\mu_{alpha}$, the mean price underlying the distribution from which the category levels are drawn.\n",
    "* sigma_a is $\\sigma_{\\alpha}$, the standard deviation of the price distribution underlying the category levels: variability of category means about the average.\n",
    "* sigma_y is $\\sigma_y$, the standard deviation of the measurement/sampling error: residual error of the observations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "partial_pooling = \"\"\"\n",
    "data {\n",
    "  int<lower=0> N; \n",
    "  int<lower=1,upper=689> category[N];\n",
    "  vector[N] y;\n",
    "} \n",
    "parameters {\n",
    "  vector[689] a;\n",
    "  real mu_a;\n",
    "  real<lower=0,upper=100> sigma_a;\n",
    "  real<lower=0,upper=100> sigma_y;\n",
    "} \n",
    "transformed parameters {\n",
    "  vector[N] y_hat;\n",
    "  for (i in 1:N)\n",
    "    y_hat[i] <- a[category[i]];\n",
    "}\n",
    "model {\n",
    "  mu_a ~ normal(0, 1);\n",
    "  a ~ normal (10 * mu_a, sigma_a);\n",
    "\n",
    "  y ~ normal(y_hat, sigma_y);\n",
    "}\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have two standard deviations, one describing the residual error of the observations, and another describing the variability of the category means around the average."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_4387f6049b48554037b1a4c61e07bf78 NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "partial_pool_data = {'N': len(log_price),\n",
    "                     'category': category+1, # Stan counts starting at 1\n",
    "                     'y': log_price}\n",
    "\n",
    "sm = pystan.StanModel(model_code=partial_pooling)\n",
    "partial_pool_fit = sm.sampling(data=partial_pool_data, iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We're interested primarily in the category-level estimates of price, so we obtain the sample estimates for a:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_trace = partial_pool_fit['a']\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14,6), sharex=True, sharey=True)\n",
    "samples, categories = sample_trace.shape\n",
    "jitter = np.random.normal(scale=0.1, size=categories)\n",
    "\n",
    "n_category = df.groupby('category_name')['train_id'].count()\n",
    "unpooled_means = df.groupby('category_name')['log_price'].mean()\n",
    "unpooled_sd = df.groupby('category_name')['log_price'].std()\n",
    "unpooled = pd.DataFrame({'n':n_category, 'm':unpooled_means, 'sd':unpooled_sd})\n",
    "unpooled['se'] = unpooled.sd/np.sqrt(unpooled.n)\n",
    "\n",
    "axes[0].plot(unpooled.n + jitter, unpooled.m, 'b.')\n",
    "for j, row in zip(jitter, unpooled.iterrows()):\n",
    "    name, dat = row\n",
    "    axes[0].plot([dat.n+j,dat.n+j], [dat.m-dat.se, dat.m+dat.se], 'b-')\n",
    "axes[0].set_xscale('log')\n",
    "axes[0].hlines(sample_trace.mean(), 1, 1000, linestyles='--')\n",
    "\n",
    "samples, categories = sample_trace.shape\n",
    "means = sample_trace.mean(axis=0)\n",
    "sd = sample_trace.std(axis=0)\n",
    "axes[1].scatter(n_category.values + jitter, means)\n",
    "axes[1].set_xscale('log')\n",
    "# axes[1].set_xlim(100,1000)\n",
    "# axes[1].set_ylim(2, 4)\n",
    "axes[1].hlines(sample_trace.mean(), 1, 1000, linestyles='--')\n",
    "for j,n,m,s in zip(jitter, n_category.values, means, sd):\n",
    "    axes[1].plot([n+j]*2, [m-s, m+s], 'b-');\n",
    "    \n",
    "axes[0].set_title(\"Unpooled model estimates\")\n",
    "axes[1].set_title(\"Partially pooled model estimates\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are significant differences between unpooled and partially-pooled estimates of category-level price, The unpooled estimates look more extreme."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial Pooling - Varying Intercept\n",
    "\n",
    "This approach is similar to a least squares regression, but the multilevel modelling approach allows parameter distributions - information to be shared across categories, which can lead to more reasonable estimates of parameters with relatively little data. In this example, using a common distribution for the category-level price spreads the information about likely price levels such that our estimates for categories with few observations should be less extreme, with the equation: \n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta x_{i} + \\epsilon_i$$\n",
    "\n",
    "Simply put, the multilevel modeling shares strength among categories, allowing for more reasonable inference in categories with little data.\n",
    "\n",
    "In data:\n",
    "\n",
    "* J is the number of categories (int)\n",
    "* N is the number of samples (int)\n",
    "* category is a list of N values from 1-689, specifying the category index each measurement\n",
    "* x is a vector of indices for which who pays shipping measurements were taken at each product\n",
    "* y is a vector of log(price) measurements, one per product/sample.\n",
    "\n",
    "Define parameters:\n",
    "\n",
    "* a (vector, one value per category), representing $\\alpha$, the vector of overall prices for each category.\n",
    "* b (real) representing $\\beta$, the effect of shipping choice\n",
    "* mu_a, a real corresponding to $\\mu_{\\alpha}$, the mean price underlying the distribution from which the category levels are drawn.\n",
    "* sigma_a is $\\sigma_{\\alpha}$, the standard deviation of the price distribution underlying the category levels: variability of category means about the average.\n",
    "* sigma_y is $\\sigma_y$, the standard deviation of the measurement/sampling error: residual error of the observations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "varying_intercept = \"\"\"\n",
    "data {\n",
    "  int<lower=0> J; \n",
    "  int<lower=0> N; \n",
    "  int<lower=1,upper=J> category[N];\n",
    "  vector[N] x;\n",
    "  vector[N] y;\n",
    "} \n",
    "parameters {\n",
    "  vector[J] a;\n",
    "  real b;\n",
    "  real mu_a;\n",
    "  real<lower=0,upper=100> sigma_a;\n",
    "  real<lower=0,upper=100> sigma_y;\n",
    "} \n",
    "transformed parameters {\n",
    "\n",
    "  vector[N] y_hat;\n",
    "\n",
    "  for (i in 1:N)\n",
    "    y_hat[i] <- a[category[i]] + x[i] * b;\n",
    "}\n",
    "model {\n",
    "  sigma_a ~ uniform(0, 100);\n",
    "  a ~ normal (mu_a, sigma_a);\n",
    "\n",
    "  b ~ normal (0, 1);\n",
    "  \n",
    "  sigma_y ~ uniform(0, 100);\n",
    "  y ~ normal(y_hat, sigma_y);\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_689315579169ef722b737fd14cecd3fa NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "varying_intercept_data = {'N': len(log_price),\n",
    "                          'J': len(n_category),\n",
    "                          'category': category+1, # Stan counts starting at 1\n",
    "                          'x': shipping,\n",
    "                          'y': log_price}\n",
    "\n",
    "sm = pystan.StanModel(model_code=varying_intercept)\n",
    "varying_intercept_fit = sm.sampling(data=varying_intercept_data, iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can then collect the category-level estimates of the overall price, the intercept of the model, $\\alpha_{j[i]}$, from a (1000 iterations x 689 categories):"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is no way to visualize all of these 689 categories together, so I'm visualize 20 of them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a_sample = pd.DataFrame(varying_intercept_fit['a'])\n",
    "plt.figure(figsize=(20, 5))\n",
    "g = sns.boxplot(data=a_sample.iloc[:,0:20], whis=np.inf, color=\"g\")\n",
    "# g.set_xticklabels(df.category_name.unique(), rotation=90)  # label counties\n",
    "g.set_title(\"Estimates of log(price), by category\")\n",
    "g;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's quite some variation in prices by category, and we can see that for example, category Beauty/Fragrance/Women (index at 9) with a large number of samples (225) also has one of the tightest range of estimated values. While category Beauty/Hair Care/Shampoo Plus Conditioner (index at 16) with the smallest number of sample (one only) also has the widest range of estimates.\n",
    "\n",
    "We can visualize the distribution of parameter estimates for $\\beta$ and $\\sigma_{alpha}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(varying_intercept_fit, var_names = ['sigma_a', 'b']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.27304722263776227"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "varying_intercept_fit['b'].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The estimate for the shipping coefficient is approximately -0.27, which can be interpreted as products which shipping fee paid by seller at about 0.76 of ($\\exp(-0.27) = 0.76$) the prices of those shipping paid by buyer, after accounting for category."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "xvals = np.arange(2)\n",
    "bp = varying_intercept_fit['a'].mean(axis=0) # mean a (intercept) by category\n",
    "mp = varying_intercept_fit['b'].mean()      # mean b (slope/shipping effect)\n",
    "for bi in bp:\n",
    "    plt.plot(xvals, mp*xvals + bi, 'bo-', alpha=0.4)\n",
    "plt.xlim(-0.1,1.1)\n",
    "plt.xticks([0, 1])\n",
    "plt.title('Fitted relationships by category')\n",
    "plt.xlabel(\"shipping\")\n",
    "plt.ylabel(\"log(price)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is clear from this plot that we have fitted the same shipping effect to each category, but with a different price level in each category. There is one category with very low fitted price estimates, and several categories with relative lower fitted price estimates. Of course, there are multiple categories with relative higher fitted price estimates, but the bulk of categories form a majority set of similar fits.\n",
    "\n",
    "We can see whether partial pooling of prevailing category-level price estimate has provided objectively more reasonable estimates than pooled or unpooled models, for categories with small sample sizes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 4, figsize=(16, 8), sharey=True, sharex=True)\n",
    "axes = axes.ravel()\n",
    "for i,c in enumerate(sample_categories):\n",
    "    \n",
    "    # Plot county data\n",
    "    y = df.log_price[df.category_name==c]\n",
    "    x = df.shipping[df.category_name==c]\n",
    "    axes[i].scatter(x + np.random.randn(len(x))*0.01, y, alpha=0.4)\n",
    "    \n",
    "    # No pooling model\n",
    "    m,b = unpooled_estimates[['shipping', c]]\n",
    "    \n",
    "    xvals = np.linspace(-0.2, 1.2)\n",
    "    # Unpooled estimate\n",
    "    axes[i].plot(xvals, m*xvals+b)\n",
    "    # Pooled estimate\n",
    "    axes[i].plot(xvals, m0*xvals+b0, 'r--')\n",
    "    # Partial pooling esimate\n",
    "    axes[i].plot(xvals, mp*xvals+bp[category_lookup[c]], 'k:')\n",
    "    axes[i].set_xticks([0,1])\n",
    "#    axes[i].set_xticklabels(['buyer pays shipping', 'seller pays shipping'])\n",
    "#    axes[i].set_ylim(-1, 3)\n",
    "    axes[i].set_title(c)\n",
    "    if not i%2:\n",
    "        axes[i].set_ylabel('log price')\n",
    "        axes[i].set_xlabel('shipping');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial Pooling - Varying Slope model\n",
    "\n",
    "We can also build a model that allows the categories to vary according to shipping arrangement (paid by buyer or paid by seller) influences the price. With the equation: \n",
    "\n",
    "$$y_i = \\alpha + \\beta_{j[i]} x_{i} + \\epsilon_i$$\n",
    "\n",
    "We can also extend partial pooling to a linear model of the relationship between measured log(price), the prevailing price level, and the effect of who pays shipping at which the measurement was made, where the category affects the effect of making the measurement at different shippings. In this linear model, the measured price level in a product $y_i$ is a function of the shipping at which measurement took place, $x_i$, with parameters $\\alpha$ (the prevailing price level overall) and $\\beta_{j[i]}$ (the influence of who pays shipping, which varies by category), and residual error $\\epsilon_i$.\n",
    "\n",
    "In data:\n",
    "\n",
    "* J is the number of categories (int)\n",
    "* N is the number of samples (int)\n",
    "* category is a list of N values from 1-689, specifying the category index each measurement\n",
    "* x is a vector of indices for who pays shipping the price measurements were taken at each product\n",
    "* y is a vector of log(price) measurements, one per product/sample.\n",
    "\n",
    "Define parameters:\n",
    "\n",
    "* a (real) representing $\\alpha$, the prevailing website-wide price level\n",
    "* b (vector, one value per category), representing $\\beta$, the vector of shipping effects for each category.\n",
    "* mu_b, a real corresponding to $\\mu_{\\beta}$, the mean shipping effect underlying the distribution from which the category levels are drawn.\n",
    "* sigma_b is $\\sigma_{\\beta}$, the standard deviation of the shipping effect distribution underlying the category level effects: variability of category means about the average.\n",
    "* sigma_y is $\\sigma_y$, the standard deviation of the measurement/sampling error: residual error of the observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "varying_slope = \"\"\"\n",
    "data {\n",
    "  int<lower=0> J; \n",
    "  int<lower=0> N; \n",
    "  int<lower=1,upper=J> category[N];\n",
    "  vector[N] x;\n",
    "  vector[N] y;\n",
    "} \n",
    "parameters {\n",
    "  real a;\n",
    "  vector[J] b;\n",
    "  real mu_b;\n",
    "  real<lower=0,upper=100> sigma_b;\n",
    "  real<lower=0,upper=100> sigma_y;\n",
    "} \n",
    "transformed parameters {\n",
    "\n",
    "  vector[N] y_hat;\n",
    "\n",
    "  for (i in 1:N)\n",
    "    y_hat[i] <- a + x[i] * b[category[i]];\n",
    "}\n",
    "model {\n",
    "  sigma_b ~ uniform(0, 100);\n",
    "  b ~ normal (mu_b, sigma_b);\n",
    "\n",
    "  a ~ normal (0, 1);\n",
    "\n",
    "  sigma_y ~ uniform(0, 100);\n",
    "  y ~ normal(y_hat, sigma_y);\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_e408fa35963c184d6b94760f4a12a6c4 NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "varying_slope_data = {'N': len(log_price),\n",
    "                      'J': len(n_category),\n",
    "                      'category': category+1, # Stan counts starting at 1\n",
    "                      'x': shipping,\n",
    "                      'y': log_price}\n",
    "\n",
    "sm = pystan.StanModel(model_code=varying_slope)\n",
    "varying_slope_fit = sm.sampling(data=varying_slope_data, iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can then collect the category-level estimates of shipping effect, the slope of the model, $\\beta_{j[i]}$, from b (1000 iterations x 689 categories):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "b_sample = pd.DataFrame(varying_slope_fit['b'])\n",
    "plt.figure(figsize=(20, 5))\n",
    "g = sns.boxplot(data=b_sample.iloc[:,0:20], whis=np.inf, color=\"g\")\n",
    "# g.set_xticklabels(df.category_name.unique(), rotation=90)  # label counties\n",
    "g.set_title(\"Estimate of shipping effect, by category\")\n",
    "g;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the first glance, you may not see any difference between these two boxplots. But if you look deeper, you will find that the variation in median estimates between categories in varying slope model becomes much smaller than those in varying intercept model, though the range of uncertainty is still greatest in the categories with fewest products, and least in the categories with the most products. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAGECAYAAACRVpzZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOy9e5xk51ke+Lzn1P3S1ffL3DSjHhn5BgQDNgZbDiIsyQoMxmwAix8sSgi7ZgNhF/ixy3L14vUmZJNNwnrBJBjkZNcQLg5x7HjXSLJAGEuyZFnyzEg9F830TN+7634/3/7xnvd83zlV1dPdU9Otmfqe369+1V11+tR3TlX3efp5n/d5SSkFCwsLCwsLCwuLw4Nz1AuwsLCwsLCwsBg1WAJmYWFhYWFhYXHIsATMwsLCwsLCwuKQYQmYhYWFhYWFhcUhwxIwCwsLCwsLC4tDhiVgFhYWFhYWFhaHDEvALCxuM4joA0R07pBf8ywRKSJ6223a/5NE9OEh7Ofb/HXOD2Nd+3jdm67/MN63ozp+CwuLo4clYBYWtwgi+l3/Ihq9fb+/yf8K4FuM7X+ZiF7ps5/LRPQLh7Xuw4Z/Th6OPPwEgAUAa0ewpJsh9L6NGgZ9Ti0sLIaD2FEvwMLiLsHnAPxXkcd2AEApVQFQOfQV7RNEFFdKtQ/zNZVSLQArh/mae8Wd8r6NEogo4X9mLCzueFgFzMJiOGgppVYitwYQLmUR0d8D8EsAFg2l7BeI6EkA9wD4NePxE/7PvI6I/piIdohom4g+TURvNF+ciL6fiJaIqEFEfwHgTTdbMBE9SkSfIqKfIqIrAJpEFCfGTxLReX9/F4jo54lo4D9sRPQdRPQ4EW3563yMiL7eeP6a/+Xv+8fW8R/vKcER0duJ6HNEVPeP91Eimjae/wARnSOi9/hrrBDRnxPRorHNOBF9lIhWiahJRK8S0T/uXTb9kr/NFhH9GyLKRl+nz+v+EBFd8s/Np4nolLHNSSL6IyLa8Ne/REQ/fbP3AsBbiOhpf58vENG7/P05RHSFiH42svC8f9w/MGiHRDTvq7Nr/n7PEdEP+8+5RPQRf32yzg8QUcJ/vu/n1H8uTkS/5iu2dSL6sr+9+dqLRPQZ/3WvENGPU6TsS0QFIvptIlr3t/trInrQeF7K6D/gf05rAH7loOfDwuK1BkvALCwOFx8D8BsALoNLbwsA/ncA3wXgGoAPGY9fJ6IFAE8CWAbwDgDfBOAigMeIaAoAiOgbAPxbAP8OwNf4+/vne1zPN4PLbN8F4GsBdAH8GoCfAvCzAF4P4B8BeD+A/2mX/WQB/EsAb/P3eQnAp4hown/+b/j3P+Ef2/F+OyGiYwD+M/j8fAOAd/s/+weRTU8A+PsAfsBf/ziAjxjP/zqAr/aP63X+ducj+/i7APIA3gngBwF8D4D/YZdjBICT/uu+1/+5KQB/aDz/fwHIAfg28Ln7+wCu32SfAPBPAfwigK8D8DSAPyOiOaWU5x/X34ts/4MAGgD+qN/OfCL5OJiI/wCANwD4SQB1fxMHwA1/P68H8N/7a/05//lBn1MA+DcAvtNf0xsAfADAbxjkzgHwJ+DPxDvA7+H3AHhzZJm/C+BBAO8Dv8d/DeCTRHRfZLv/DcBHAbwRfH73fT4sLF6TUErZm73Z2y3cwBeSDrhcJbfzxvMfAHDO+P6XAbzSZz+XAfxC5LEPAHgy8hj52/6E//3/DeDxyDY/BUABeNsu634UwBaAjPFYDnyR/rbItj8KYMP4/kkAH95l3y6AEoC/azymADwc2e7b/Mfn/e8/COAKgLixzVv8bd5unJM2gCljm/eByWPc//4/AvjILut7EsCzkcd+G8DndnnfPgDAA3DGeOwN/toe8L9/Mfoe3uSzI8f/w8ZjcTAZ/yX/+2P+8b7L2OYLAH5jl/3+AwA1AAv7WMvPAPjKbp9TAPf56z0befxXATztf/23+5ynaf9z9WH/+6/y9/Ptkc/18wB+y//+rL/Nz0dea9/nw97s7bV4sx4wC4vh4PMAftj4vjOk/X4DgLcSUdSLlAZfDAEmAf8x8vyTe9z/i0qpmvH9mwGkAPwpESnjcRdAiogmlFLb0Z345b9fAStgs2CFJQMuq+4HbwTwlDK8aEqpZ4io6j/3l/7DV5VSm8bPXfdfc8b/+l8B+AMi+kYAnwXwKQCfVkqZx/Rc5LWvA3jgJutbUUpdMtb2EhHt+Gt7HKwS/SYRPQTgMQB/ppTay3vxlLHPNhF9wd8nlFLXiejPwArVY0T0NQC+HsAP7bK/twD4slLqxqANiOjHATwCfo8yYE+wd5N1Sln5OSIyH48BaPpfvwHAauQ8bVDY0C8l9M8Z2ygi+hy0Wir4a/ObA54PC4vXHCwBs7AYDupKqdvRMeYA+DRY0YqiOIT9V/u8HsAlo4t9ti8N2M8nwQTmvwWrNy0wqUgMYY39EDViC7FyAEAp9Unfm/VfAHgXuET7RSL6dqVUd5d93JItQyn1ESL6TwC+w3/dTxPRHyilfuRW9gvgw2BS/N+BicfnlFIHjsjwvVL/HFxy/Bz4ff1+sO9rN8j5eRu45GfCJG8Kw0P0MwoM+XxYWBwFrAfMwuLw0QIrSnt5/Gmwj+eqUuqVyG3d3+YlAG+P/Nw3H3BtL4CVjHv7vN4rBnkJQERzYJ/Vryul/rNS6iVwiWg6smm7z/FF8SKAbyKiuLH/t4D9RF/ez4EopTaVUv9WKfVjYC/Yt/rrvBXME9FpY22vB/vPXjJed1kp9TtKqR8ClwJ/mIgyN9lvkNfmH/s3mPsE++KuA/gxcLn1t2+yv2cAvMn3EPbDO8Elw3+mlHpGKfUygDORbfp9Hp/x70/0+WwIYX8JvedpGlxSFLzo37/D2Ib87/fyPu/3fFhYvOZgCZiFxeHjEoBjRPSNRDRNRGnj8W/xO+mmfTPz/wEuCf4JEX0LEZ3273+diN7q/9w/BfAOIvpV4o7J70V/xeymUEqVwI0AHyKi/8bf3xuJ6AeJ6IMDfmwD7CX7MX/7t4NN3PXIdpcAfCsRHZMGgj74F2Bj+7/2X/cdYAP2Y0qppwb8TA+I6INE9N3+el4HNmmXAVzd6z4GoA7gd4noLX7zw0cBPKOUesx/3d8k7ghdJO5U/R4AlyNl3n74H4nob/uE7sMAJvx7AFyeA5OMXwGrS9GmhCg+BiYo/4GIHiSiM8Qdp9/nP38ewNcS0Xf63YY/DTbLm+j5nPoq0++B35/3+cf5NUT0CBH9jP9znwYTrEeJ6OuJ6Gv9n2n5a4dS6jyAPwbwYSL6W/5x/wsA9wP4Jzc5toOcDwuL1xwsAbOwOHz8Efji8ykA6+AONAD4n8Gq0QX/8WO+h+dtALb9nzkPNs+fhJ+fpZT6a7D/5WEAXwJ38u0l+qAvlFK/BDZk/zhYEXsSwD8EG//7bd8F8H3gi+eXAPwOuIMuGq760wDe6u9ndcC+rgP4drAa8zSAT4C9Wt/Xb/td0ATwvwD4Itig/QYA36E42+tWcBXcBfhH4NJdEcD3Gs87YCLxZXDIbBLA39nDfn/GX+9z4HP0nUqpaD7avwYrUr+v/IiTQfCP850AzgH4OICv+OtK+Zv8Jrhr9qNgVevrwEZ6E4M+p4/4+/pFf7//L/jzd9F/bQ/Ad4NLlE+C38NPAFhCuGz5XwP4//x1PAfgGwH8HV+N2wv2fD4sLF6LoLAn1cLCwsKiH4joAwDeq5S6/4he/6vBXYJvVkrtqxx71CCiAtgb+LNKqf9zSPu8Y8+HhQVgTfgWFhYWr2kQURKsjH4QwGfuBLJBRN8NViHPAZgDR1p0EM5MO+i+77jzYWHRD7YEaWFhYfHaxg8BeBVcdn7/Ea9lr8iCvYkvgsuPHoBvNhpHbgV34vmwsOiBLUFaWFhYWFhYWBwyrAJmYWFhYWFhYXHIsATMwsLCwsLCwuKQcceZ8B977DGVTCaPehl3JJRSiIwPsbCwsLCw2BX22nFrqNVqGw8++OBM9PFDJWBE5IKzfZaVUg9FnkuCw/reAmATPMT3cnQfyWQS999/JF3gdzw2NjYwPR0NJ7ewsLCwsBgMe+24NTz77LNX+j1+2CXInwQH9/XDIwC2lVJnwQNtP3RoqxoRVKv9RqpZWFhYWFgMhr123B4cGgEjohMA/ksAHxmwybvBqcwAZ8U8SFbzHCrm5+ePegkWFhYWFncY7LXj9uAwFbB/BuBnwXkw/XAc/pw2pVQHPOJj0Lw4iwNgZSU62cTCwsLCwmJ32GvH7cGheMCI6CEAa0qpZ4joXbeyr7W1NTzyyCOIxWLodrt4z3veg/e///1YWVlBNpuF67oolUqYmZnB1tYWlFKYmZnB6uoqcrkcAKBSqWBubg7r6+sgIkxOTmJ9fR1jY2PodruoVquYn5/HysoK4vE4CoUCNjY2UCgU0Gq1UK/Xg+cTiQTy+Tw2NzcxMTGBer2ORqMRPJ9KpZBOp7G9vY2pqSmUy2W0Wq3g+XQ6jUQigWKxiOnpaRSLRbTb7eD5YR4TEeHKlSt31THdje+TPSZ7TPaY7DG9lo6pXC6jWq3eVcd0mO/TQG50GEGsRPRBcHpxBzwMdgzAHymlHja2+TSAX1ZKPUVEMfCg4RkVWeBTTz2lrAn/YKhWq8hms0e9DAsLCwuLOwj22nFrePbZZ5958MEHvz76+KGUIJVSP6+UOqGUOg3g+wF81iRfPj4B4If9r9/rb2Nj+oeIjY2No16ChYWFhcUdBnvtuD040hwwIvpVAE8rpT4B4HcA/D4RvQJgC0zULIaIQqFw1EuwsLCwsLjDYK8dtweHTsCUUo8BeMz/+heNxxsAvu+w1zNKaLVaR70ECwsLC4s7DPbacXtgRxGNEOr1+lEvwcLCwsLiDoO9dtweWAI2QrBZLhYWFhYW+4W9dtwe3HGzIC0OjpWVFdxzzz1HvQwLCwsLizsAS0sOHn88hnPnmrj//gQeeKCDxcVBUZ4W+4VVwEYIiUTiqJdgYWFhYXEHYGnJwaOPJlAuE6anFcplwqOPJrC0ZGnDsGDP5Aghn88f9RIsLCwsLF7jqFSAj388jq0twoULLi5ezKNQUBgfV3j8cVs4GxbsmRwhbG5uBim+FhYWFhYWANBuAysrDpaXCdevOyiVCF/8Ygyuq7C+7qBaJbRaMXzVV3VRrVrdZliwBGyEMDExcdRLsLCwsLA4YigFbG4y2bp+3cHaGsEzrF2JBDAx4eHll11MT3uYmQE6HeDJJ2P4lm/pHN3C7zJYAjZCqNfrGBsbO+plWFhYWFgcMioVBITrxg0HzaZ+jgiYnVU4dszD9LSHTofw1FMuajXC6qoDxyGcOHF0a79bYQnYCKHRaBz1EiwsLCwsDgHtNrC6SlheZtJVLFLo+Xxe4dgxhfl5D7GYwsaGg+VlB88/70IpYHXVwZkzXWxsOGg0FBIJ4B3v6KDToQGvaLFfWAI2QrBZLhYWFhZ3J25WVozHgYUFD8eOechkFMplB9evE/7iL2LoGFVFx2E17E1v6sJ1gWPHOuh2O4jFgGKRMD1tYyiGBUvARgg2B8zCwsLi7kGlAty4ocuKZpGDCJiZ4bJioeCh3eZy4vPPxxANtp+YUAE5m5tTiMeB172ui0cfTaBUInQ6JcRiU9jZITz0UPtwD/IuhiVgI4RUKnXUS7CwsLCwOCA6HWBlZXBZMZdTOH5cYWaGVaqNDcKlSw5KJTe0XTar1bD5eQ+ZTO9rLS56eOc7O/jYxxK4fHkSp0+7eN/7WjaIdYiwBGyEkE6nj3oJFhYWFhZ7hFLA1pYuK66u9pYV5+c9zM15SCa5rHjjhoMLF2JQSm+XSPB2TLoUCgXV+2IRLC05eOKJGN785i6+7usaaLfTeOKJGE6d8iwJGxIsARshbG9v2y5ICwsLi9cwqlVdVrx+PVxWBLisuLDAPq52m7CyQnjuuV4f19ycLitOTSk4+4zveuyxGKpV4KWXXKytJXDffS7m5z08/ngMi4utWz9QC0vARglTU1NHvQQLCwsLCwNSVhTCtbPTW1Y8dkxhfNyD5wGbmw4uXHB7iNnEBPu9FhY8zM8rxPZ5dVcK2Nkh3LjBXrFPfCKO1VUHyaQCkEC9Drz4oot63XZBDguWgI0QyuWyTcK3sLCwOELcrKwYi7E/a2rKQyxGqFSA5WUuK5rI5RQWFljlWljwsF+HSZRwra6y2uZ5QKlEWF0l1OuAUgTX7SKVctFsKmxvWwI2LFgCNkJotaxsbGFhYXHYqNV0CGq/suL0tMLcnIdEQsqKDp57Lnx5Fh/XsWN826+bxCRcKytMuJpNoNsFymVCqURoNAiuq5DL8dxHIkIioeC6XdRqLrpdwvi49X8NC5aAjRBsDpiFhYXF7UenwyGoQriiqlE2iyCPy/NYETt3zkW3q7cxfVysiO3Px6UUsL3NHjGTcHU6mnA1mwTHUcjnFWZnPaRSHF8xNaVQrXZRLnsoFgnlchyZDLC42MXp05aADQuWgI0QbA6YhYWFxfAhZIcJF5f0TDIVi7F6VSh4cBxCuUy4erVXCZucDOdx7cfHtRvhKpUIxSKh1WLCVSiw4pZKMdGbmlJBN+XsLKfev/71nAN2+rSHTmczyAF74AE7C3JYsARshGBjKCwsLCyGA7OseOOG0xNuOjWlMD3twXWBVos9Vdeu9fq4jh3TKtd+ohoHEa52mwmXKFyxmMLYmAr27zjcSTk35/m3/kRvcdHDww+38PjjMSwtpbG4qPDQQ20bQTFEWAI2QkgkEke9BAsLC4s7EnspK4qPS7oVz58PB6Amk2Ye1/58XGLeX10l3LjBhKvVAlotIVxMwOLxMOFyXR4tJIRrZmbvytrioofFxRZ2dsoYH3dv/gMW+4IlYCOEYrGI8fHxo16GhYWFxR0Bs6y4stJbVpybYx8XlxWBK1fC27gubyPdilNTCrTHJkIhXCsrDlZWKCBczWaYcCUSTLiOHesildLrmptj0jU9reAekDstLTl4/PEYzp1L4/77E3jggY5VwIYIS8BGCNPT00e9BAsLC4vXLGq18GzFWi38/NSUQqHggYjLimtrTIKi24jCNTu7d7VpEOFqNDTharU04Tp+nAlXPA7MznL21/z8wUJX+2FpycGjjyYwPq5w/HgS5TLh0UcTePhhO45oWLAEbIRQLBaRzWaPehkWFhYWrwl0u+Gy4tZWWJ7KZIDpaQ+xGG+7uUm4eDEsJ+Xz2sc1P793H5dJuG7cYDLXagH1OqFUQkC4kkkmXCdOMOFKJjXhmpvzMDk5HMIlaLWA9XXCxz6WwPo6Bd6yd7yDxxfZJPzhwRKwEUK7bafYW1hYjDZuVlacnvaQSikoxd2Kr74aZjfJZHiQ9V59XBI3sboaJly1WphwpVJMuE6d6iKZBFIpBP6t+XmFiYm9lzH3glIJWFtzsL7uYG2NAm/bl7/s+llggFJddDpMNldWhsj2RhyWgI0QbA6YhYXFqKFeD89WjJYVJyaU7+PSZUUzmd51xTjPKtfk5N4I0CDCVa1qwtVuM+EqFBTuuYcJVzoNn2wx4SoUhke4Oh1W8dbWmGytr/dGYUgsxf33d+E4nFfmOHHEYkCxSJift+XHYcESsBGCzQGzsLC427GXsmKhwPEQnQ6wtdXb0Tg9HfZx7cXELoQr6uGqVllJ4xwuIJNhUnX6NBMu6Z7kHC5+blioVoH1dR53tL7O58KL8Kd0GpiZ4eOcmdGm/fvv5xywep3Q6ZSCHLCHHrKVlGHBErARgvV/WVhY3I3Y2SFcv05YXuZ4ho6RFeq6wOQk+7iUAioVjnEwkc8rHD/OKtf8vIdk8uavyVETTLRMwlWpUJDD1W4D2SyXFM+c4f3m8yroUJyb2/9Iod3Ws7VFWFujoKRYrYa3IeKw19lZjqOYmRn8+ouLHt75zg4+9rEELl+ewunTLt73PmvAHyYsARshuAftRbawsLB4DaHRCM9WjJYVCwWFZJJLd40Gqz8mUikE4acLCx7y+Zu/pkm4zJKijPURwpXLMeG6915NuBYWNOHK5YZ3DsS3tbbmYGODQn42gOdHmurWzIxCPL63/S8tOXjiiRje9KYuXv/6GmKxDJ54IoZTpzxLwoYES8BGCKVSCRMTE0e9DAsLC4t9odsF1tZ0WXFzM1wyTCaZ+DiOQqfD5b5iUW8j2VjSrbgXI7sQLikpSuSESbg6HU24FheZcBUK/Bqzs6ymZTK3fvwySFt8W6urXNaMolBQAdmanT2Yf6xUAjY2HHz0owlcvOhgZcVBuZzBV3+1i4UFz3ZBDhGWgI0QZmZmjnoJFhYWFnvCzcqK+byHWIw9TZUK+aSM2QYRj9sRhWsvPq5+hKvR0ISrXGaFK59nwjU7y4RrYkIFHYpzcx6GMfFNoiBE2VpbY8O+iVgMQRlxdpa9W/sZZQRwg8LmJpO6jQ3CxobONXvmGRdbWw4SCYVCwUWtBrz4ootabYgtmCMOS8BGCFtbW8gM498xCwsLiyGj0Qh3K0b9S5kMD4nmbQk7O+GyIqfBs8o1N3dzH1eUcEnelRjmSyUu6Y2NKeTzrGYlEtwhKIRrdnZ/8xsHQaIg2LtFPU0BABM/Tbg4jmI/+V/tNh/v5ia/xsYGoVLpfZ10mqM44nF+zXxeodFoIpdLot1W2NmxBGxYsARshKDU8LprLCwsLG4FnhfuVoyWFRMJjmggYvJQq1HI65VKcUSCqFw381Z5HrCxETbN65R5vnmeJlwLC0zipqdV0KU4O6tJ4EHR6fA6pJS4sdE/CmJ6WoX8W/v539nzOO9sY0MTrp0dQvQSwLlnCvm8F5C5Wo1/ptOBP9AbUIoVsG6XMDFh/V/DgiVgIwRbgrSwsDhKFIuE5WUmXSsr4bIiEZBOc6mw22WVq1Tq7+M6dswLQkIHQQjXygoTndVVB/V6mHApxYRL1LNUqpdw7dW0PgiVStgsv7XVS4QymbBZfmpqf/MbxbclZcTNzV5DvuNwB+T4uJAtJlccndH7YidOKExOdlGrEep1F8kkcOZMF6dPWwI2LFgCNkJYXV21OWAWFhaHBrOseONGb8krkWCCoxTQbFLIXyQ+LlG5Zmd3L7n1I1y1mvZwiSlfCNfx456fgaU7FPczu7Eful0mNOLfWlvr7dAk4jKmSbj20oUp2M23ZSKf5zJlLCYqIpc2l5Z6yVY8zmuammIv2dSUh3e8oxPMgux0NoMcsAce6PS+mMWBYAnYCCE3rP5nCwsLiz7wvHC34sZGmHARMekSQtBqcTipQDoIjx3TnqvdXktmFYppvlqFb5h3UCzy65mEK5PhOYqSwzUzsz+lKYpajZUn6U7sFwWRTPYGne5VVYv6tjY3+3c/ptPA+DifLyIFz2PCGR2jBHADg5AtJoJ8fqJq4tiYh4cfbuHxx2O4eDGDe+9VeOihto2gGCIsAbOwsLCwODB2Kyt6Hnu5pKzY6bDSJchkwnlcu2VFd7thhWttzUGlIiVFB+WyJlyFgocTJxSy2fDg6unpgw+u9rxwFMTaWn8yND4ejoLoR2522z8Trd19W5OTOudMKU7bX1lxerZ1HO7SnJnhEUrT0wrj43s/B4uLHhYXW9jc3MbU1NTefshiz7AEbIRQqVTsL5GFhcUtodk0uxXDZUXPY7LlugpKAUpxVpaQsliM5ypyWZFLZIOwG+EqFh2USgTXZYIzMeHh1CmFXC5MuKamDk64mk1W2JhssboVjYKIxxEEnMr9XlL0gV7f1tYWhcgrwIRyYkIhnebjUIq9cRsbBM/rVRcnJlRQQpye5vN7Kwrf0pKDxx+P4dy5HO6/P4EHHuhYBWyIsARshDA3N3fUS7CwsLjDIKU+KSuur4cv/N0uExEi3lYpoNPhbRwHmJ3VeVwzM4MJkUm4VlZYYapUCMUiUC5rwlUoKExOerjnHoV8PjxHca+DsqNQiomdGXRqBrkK8vmwurVXNWmvvq1cjgeDuy6vqd3mdfSLpSgUwmRrcvLW/GtRLC05gQfs7NkUymXCo48m8PDDdhzRsGAJ2AhhfX0dJ0+ePOplWFhYvMZRKgHLy05QVjSVn3ZbE65ulxUvGfDsOFyCEx/X3NxgH1e3a3q4dEmvWIRfUiTE46xwCeEaG4NPtljlulkn5CC02zoKQkhXlBC5bm8UxF5CVvfj20qnvYA0dbvcLNAvmyufZ7LFRIuVvVuNw7gZPvOZGByHy5uvvtrEm9/MxjWbhD88WAI2QqCD/KWysLC462GWFW/cCBOGTofVGFFlpKSlFBOuTCacxzUor6of4ZI4iGKRXzORYMI1Pe3h3nsVCgUEHYoLC6x+HQTlMkJka1AUxOysFwyqnpzcW3r+Xn1buZx0JBK6XYVq1cHWVq98lsupwK8l6tZey5oHgechUNk2N3n9W1sOPvvZeEBw6/UElGIiuLJywJquRQ8sARshTE5OHvUSLCwsXgOIlhU3NjRp8DwufcVi7OMSI70gHmcVSlSu8fH+pEgIF3u4uKxnZnCVSoRkkgnXzIyHxUXlj/XROVxjY/s/tm5Xl/uEcA2KgmDCxa+/lyZx07e1ucl5W/18W/k8lwOlI5GT+/WoJLlPpxGQrOlpVraGMcpoECT3a3ubSdb2Nn/t9akoTk7ybM2ZGYVEwoVSHOkxP2/Lj8OCJWAjhPX1dZsDZmExoiiVEBCuGzd0WZGN3YDrUlBWTKU0qXKccB7XoE5CGZgtClc/wpVKhQnX5KQKDPNzc/vLwxLUamF1iw3q4W1Sqd4oiJv5pfbq20qluBzoOEy2Wi1TQdRKIqfqM8kSdWu3rs9bAZMlYGuL1b6tLSaA/cqbABPGyUm+TUxwU0M4B6yIcplzwB56qN13Hxb7hyVgI4Sxg/w7aWFhcUei1Qp3K5plxWaTlS3HMaMimHTF49xNxwoXm9v75VZ1OuGS4uoqX+TN4dVCuObmPJw9qzA1xYRLfFz7JSAyYkfI1vp6f3/VxIRplr+5ktbpMNna2NjdtxWPA/G4Nsl3OtyVyKOEKLSd+LW4nHkwNW8vaLfhK1qE7W0nULiiyhzApdCJCSFank+2+vvJ8nmdA3bpUg5nztgcsGHDErARQjeaEGhhYXHXQJLgzW5FKSsKURDDfCwWLnVlswgI1/x8fx+XEC4pKa6s6KHVQvsAuPIAACAASURBVLjSaSZc8/Me7ruPy1fSoTg3t795hgArcxsb5A+p5mOKEot4HIFvS6IgbhbguhffFhGrVkJMJcOs3Q4Ts1iMy5mTk15glN9r9td+UakgIFly60cUAX5PJya8kLJ10HV5/WqUFrcMS8BGCNVqFdPT00e9DAsLiyHBLCuurDhBqrzncfeaWSrM5TTDSCTCPq5+5naTcPEtTLgqFU24FhY8vO51pn+L71OpvR+LUmwGN4NOB0VBzM2FoyB2IxWlEoyOxP6+LaU4oT8WIwAK3S5nfkWVLZmnaJYSC4WDZ40NQrfLJHFzk3yfFpOuVp/mQ+k8ZaKlVa39nPt+WFpy8Hu/l0AyCThOE+Vy2sZQDBmWgI0Q5ufnj3oJFhYWt4BWC1hZ4ZLi8rITqB9KsReq26UgHT2b1V18Zh7XsWP9A0o7nbCHa2WFlSGTcGUyTDiOHfNQKHCZb36eCdfsrLevbr122ww65fsowZAoCDHLT0/vHgUhipn4tjY3HZ9EaXBYrEI8TiBistXpcOMB++L4nBKhpxtxYmL4ZKtWQ1A+lFJisdiryAHsZROSJcrWMAhgp8OEz7z9yZ/Ecf06Txmo1abxxjfy58fGUAwPloCNEFZWVqwJ38LiDsJuZcVGA6jXdVkxnVbIZvVVe2JCG+fn53tN51HCdf06X/glEqJaJWSzeo7i+Hi4Q3F2dn9ZVKUSgjLi2hqTjSjJyGYR+LZmZ5Xfidd/f3vxbXEaP5dcHYfN+RwWK2qS3n58XIV8WzzIeu/HdzNI3INpit/aclCv925LxEGrU1PaFD85qfZdwo2i0+E1CMna3tbvdxSXLzvY3HSQyymMjTVQryfx4osu6nUbZzQsWAI2QojvdQKshYXFkaFcDncriirU6XAMgChcYpYX5HIKCws6dT6qFAnhEg/X9ethhatW04TrxAnPD1TVHYqzs3sfIi3kyFS3okTDcRDEL8zN8f2gKIi9+rYkJFbG9uhGAwqFxZrBpjKUeph/HvcT95BIIGSKn5zksuqtkL9ul5P9t7fDZKtS6a+sOQ7P0BwfZ8KXzSp86lMxKMW+vXqdkM0CrZbqm8pvcTBYAjZCKBQKR70ECwuLCAaVFT2PL6KdDl8gZdC0lBXFx3XsGN+iXXadDrC6Sn4Gl4PlZSFcDkoluagy4Tp50vMVM024Zmb2TgKq1XAUxOZm/ygIMcvPzjLpGbT/vfi2Wi02wAvZ6nQ4OV/OHcDP5XIqFP0wNTW8YNN+cQ/b2w6q1f7b94t7OEj0hkBUtWj5sFTqT7REWRsf55sopvJZKxYJL7/soFJhVWxry0GlouC6iaDEPT5u/V/DgiVgI4SNjQ1kb1fwjIWFxZ6gVLisuLZGQamsWgVqNQeOwyGoY2OaLDgOMDenFa6oj8skXCsrvYSr0dCE6557mAAcP+4FPq7p6b0NbvY8VnfMKIh++VIcquoFHq5BMQzi29KlxF7flqiAsRifp25Xky+AiUU8ziU68WsJ2RpWsOmtxD0I4TqoyuZ5rH6aipYQrX6qmpB1UbSSSRVkvPF8TQcXLvQvfwJ8Xs+e9bC8rHDtmoNSSQFw8cY3dvGGN9hu+mHBErARglXALCyOBoPKio0GKw9ETMIyGe7uk66+yclwHpepGLXbwI0buqR47VqYcDWbmnCdPs1kgGMmmHD1M+L3Q6PRG3QaJR2JhA46nZ4eHAWxF99Wu62T+IU0xGIIHbvrsqKmyRa/7q16pATlMkKm+P3EPUxOsqp10KHg5TKws+OEyFax2J9oAayqjY+zGV+Ilufxend2KNQdG0UsFlbE+GsuBZ88GcMHP5jCqVMe0uk26nXC+fMu3vMeG8Q6LFgCNkJoDfottLCwGCpaLQRlv+vXHZRKfDVut5lwtVp8gU4kOENKsqZyOS4DisplRgm028DysiZcV6862NmBT7h4n0K4zpxhUnL8uI6E2M3QLlCKvVZmFISs3cTYGHdASkmxXxSE+LZMdSvq25JsLdflsT1KcWdiJqM3isf1eTLVrVsp3Zmvz2b4w417EKJVLPYSrUFxjfk8E6RCQcYc8TlmRYtw44bTV40DOM/MJFiijmWz/YliqwW88IKD17++i+VlB1evujh7Frj//g4uXXLwN//m/o/ZoheWgI0Q6oP0ZgsLi1tCtKy4vs6KRbfLpaNajc3zjqP87jb+uWTSzOMKl+lMwnXjhoNr18KEq91mwlUoKNx7rxeMC5JYiImJm4dutlo6CkLuo+QjFmOz/MyMF5QU+5GOm/m2ul2gVmOy5Tj8PRGrfnqdKgg2NWckHlRRMhGNe9jcHOyVEnVNE66DxT0oxeGpPOzaCRGtQWQpl+PXknmSej/8s9evOwPVsEwGIYIl6la/MiyXNcX75QQeMG7IAJ58kodxcxm3jm/6phSUgh3GPURYAjZCsDlgFhbDQ6USLis2m9rHVSo5UEoPZl5Y4LKi6wJzc17QrTg1pclHuw1cu8Yerhs3HLz6qoNikfdVLjPh4kgAhcVFLvexwsWEq1C4OeEqlRCkyq+tUd+OtlxOBanyc3P9s69u5tviIFiOe+CxPQoAl0TNfbkul1k12drbceyGaNyDdCJGfWUAvz9Csm417qFSgU+uwqrWIKKVyXDpUs6JlFtrNSZCy8uDiY6phplEq1/Zt9FAMJdTCJZETwwicq7LkxGUYvIdj/OO7TDu4eJQCBgRpQA8ASDpv+YfKqV+KbLNjwD4xwCW/Yf+pVLqI4exvlGBzQGzsDg42m2+kC0vM+mSlPZGgy+87TYFis7cnBcY2qemtI9rdlarGqbCtbLi4MqVsArR7WrCNTvLJOv4cS9Imu+XXm+i09GhpFJSjJIQx+H1mYOqo306kog/yLfleawutdtSSuTHslmFWMwc6s0kxzTI32qwaaOBIOJBOhF3dvYW9zA1pct5+0G1ikDFMr1a7QHWqHQavgrlBUTL87gLdXvbwfJy/5+TuAyTYJklSBMSO3HjhiZY8jnqN0BcIJ8vuRUKfJ/LAW9/u4NHH02gUFDodHZQKtlh3MPGYSlgTQDfqpSqEFEcwJNE9J+UUn8V2e7/UUr9xCGtaeSQ2E9qooXFiEMpNoyb3Yqex8SpWOSyolJAMskXx1SKyUY+r31c8/Pax8VxE5pwXb7sBBfJcjlMuFgl83DihI6FuNkw50olbJbf2uolIuk0QmQr2vkoHY6DfFuSuC++LXksnVahUUcSd2CmyE9O7q3LctB7IblW+417ENI1KGNsEGo1Mx1elw8HWWlTKfiDrTX59jxCvc7rbTb7H7zrokfJGh/nEmSUnFarCHx50TmcgxCPIyBW0fvdyOfioh7G/fLLKdx3nx3GPWwcCgFTrD9X/G/j/m33f98sho78MFyrFhZ3MfqVFcXHJeNhpHNsasoLBjabg6yFKLVaOvj0+nVWuEzC5XmacEme18mTmnDtRhg8T4JO9aDqKBmRUTrmoOooiRPflhAu07elFCtMMlNSlJt0Gj3+srExFfi1eDD1wSMX2m30mOJvZ9yDqGiiaolXa5BylEzy8aZSHogoKB02Gkxc2+3+RCuRiBIt9mpF/W3SqGESdCFcg8qZRNo7JuRKiNatdIYuLnpYXGyhUmkgl7OOpWHj0M4oEbkAngFwFsC/Ukp9vs9m30tE7wRwAcA/UkpdPaz1jQI2NzeR2++/gRYWdzH6lRW1cZoN6Y5DGBvzcPy4h1iMFQs2zrPKNTnJZEQI1/nzvYSrUgkTrmPHeH+mwrVbRF+93hsFEe2WM6MgZmaYdJlEpNFgj9kg35aQLUmPZ3UPPd2T+XxvsOlBxfX9xD3kcipkit9v3IOUirURnl+3nzcM4PM5NqYQjyvfx8YEtNEgP2i2P9FKp9HTbTg+HiZC3L3IROvatbAJvlYbfAypVH81q59aNgwsLTl4/PEYzp2L4/77E3jggY5VwIaIQyNgSqkugK8lonEAf0xEb1JKfdnY5D8A+HdKqSYR/QMAHwXwrdH9rK2t4ZFHHkEsFkO328V73vMevP/978fKygqy2Sxc10WpVMLMzAy2traglMLMzAxWV1cD8lGpVDA3N4f19XUQESYnJ7G+vo6xsTF0u11Uq1XMz89jZWUF8XgchUIBGxsbKBQKaLVaqNfrwfOJRAL5fB6bm5uYmJhAvV5Ho9EInk+lUkin09je3sbU1BTK5TJarVbwfDqdRiKRQLFYxPT0NIrFItrtdvD8MI8pl8vhypUrd9Ux3Y3vkz2m23dMmUwWpVIcS0tNNBrTuHSpDs8DYrEcrl+votVK+aGeDRw/nkG7XQYRcPJkGqnUJhYXk5iYaKHRqGJych4vvriJ7e00SqUxnDvXQquVRrHYRbHYRiqVhuNUUCgAZ87EUCjs4L770hgbqyKfr+D06bngmLrdNK5c4WMqlcrY2OgCmMeFC0WUyxk0GgnU6xXkcjnU6xV0u12cPJmH46zjxIk45uYAYAezs/w+NZsKN27M4fz5bTQaeWxuutjaamNsLI9yuYR2m+B5ORSLNaTTSXieglJNzM9nUa+X4Lou0uk0ut0SZmaSyOUayGar+KqvmsLOTvh9ajQmsL29+/u0vc3HFI/PY2lpB/V6GpVKEqVSwz+mOrrdLsbGxlAuFzE7G8PkJBCPl3DvvQUAm4jHvdBnr90GXn2197N3/foGPG8cW1sKq6stxGIzuHy5hE4njnQ6jUqljHQ6jU6ng3a7jampMbTbW0inXWSzaZTLZaTTWZTLHbz8chf5fAGlUgnxeAzxeAK1Wg3ZbBaOU0M63cSZM+Not9cwMxPH9HQMjcZO8NmrVDrwvAV84Qub6HSyqFbjWF1tgqiASqUKpYB8PodSaQdJP3G33W7gxIk8PG8b+byHkyfzaLfXsbCQQSwW/n2KxeKIxQq4enX4v0+f//wW/vRP55DJdOG6LWxttfHhD7fxnd+5jre+dfKu/RtxO45pEEj168G9zSCiXwRQU0r9kwHPuwC2lFI9yaFPPfWUuv/++2/3Eu9KrK6uYo7/UltYjAyq1XBZsdFgtUrUKc8jpFKsUuRyKuhcPH6cVa75eQ/JpFa4JBIiqnBJGUjKP/fc4wU5XLOz3sC8KImC4FIiK1xRQ3cshqCMKCVFSci/Wd5Wq8XKVqNBgbIVj/OxmiN5zGBTUbcOUr4y4x5E1RoU95BOA5OTXhB3MDGx97gHeQ+j5cNBClIsJo0B3BAA8LlrNvsn+QO6izXq0SoUtLooJeqo+b1Y3N0An80ChYLXY4LP5W49cmOv6HQQjB0ql+Hf8/n45CfjaDT4PWo263jXu+IoFgn5vMKP/qjNlNwPnn322WcefPDBr48+flhdkDMA2kqpHSJKA/hbAD4U2WZBKXXD//a7AHzlMNY2SmgM0totLO4idDpsdjfLitIlJhfFeJxQKHi45x4uK6ZSCMJPFxa4tCVhql/6kourV8OEq1qlkO/m1CkPp0+zj2thgcuAg8pyxaL2bq2tMXmIIp9XBuEKdwtKqn4/35ZcUGs13idHX/BFfXxcJ+wnEgj8WkK29utOOGjcg9mJuBeCJ00P0cDSQaSJ308JK5U0fUKzSUHnKhD+WcdBKNZBSJY5e5PjRZjoXrwYJt+DdIx4HAGxMr1ZXNq8+bEPA7VamFiZ97uVO3d2CMmkwtWrhEoljlgshvvu66JatTlgw8JhlSAXAHzUV7YcAB9XSv0ZEf0qgKeVUp8A8A+J6LsAdABsAfiRQ1rbyMDmgFncjVCKFRdRuVZXmZBUq+zjqlRY+Rkb012JsRjncUm34sSE8v1gDs6dY8JlmqAlSFV8SKdPezhzRkYEcV5WvwuqRDiIf2tjo38UhASdin9LiInkbV296vb4trpdVrYqFe62AzTZmp/3AsImQapmivzNOiqjOGjcgxCu8fGbd0B2Ov2J1iBPmOsCiYROhQf6KVrhn43FECJY5ugdx9EG+GKRQoRbgm/7wVTJot6sYY1G2g27qViVymDjPqCHlefzcuNjSaUULl4k/Pmfx9FsAp1OAhcuAJcuEb7923fZocW+cFhdkF8C8Df6PP6Lxtc/D+DnD2M9owqbA2Zxt6BaBW7ccALS1WiwUZ1LQE5geB8f51KikBxRuGZnFTodDiV95RUOPTVzuOp1TbgmJxXOnPGwuKgJl5nnZaJSQaBsSRREVB3JZMJmeR5FpOckXrrk+uqWJh8c0MkX2lZLUvV5fbwWfhHX1Snyom7tJ9jUjHvY3NSdiMOMe+h24WdohcnWIKIlI5tcVx9Htwu0Wvw+9UN09I6QrVxOjwESYnX9uhuY4AcdJ8AqaZRg8T4PHq+xVxxUxZJ1C8ESspVOKziOgufxPxflMqu6V66Qr6ACX/yii1dfdQEodLuef64dbG3ZYdzDgu0rHSGkDjK0zMLiNQApKwrhkjwm8dw0m+R3n3lYXOwiFkPQbXjsGHcaAghmKD75JCtc5TKnzTcamnCxF8nDvfd6QfDpzEzvRbbbZeXNJFzRiyFRb9BpPh/2bb3yChOu7W0KOu2EbJm+LSGDySSTLcdBKNh0epoJ51674STuwRzPM8y4Byn7CsESslUuDy7ZcZcpEy05F+22eKl6yZaM3ommwqfTetB5qcRRIOfPazVrUAI8K6Wqb9nwdv75FBVLOiNvVcXKZlVQfm00yFdKecrC0pImmp7HpfZGg89xq8Vdoe024eWXY+h2eZqBUg4ch4n+iy/eZrY5QrAEbISQ7jcQzMLiNQiluOTFhIsvoGZ5qFwmP2DSw/HjnDKeSiHwYC0seIjHmXCtrBCeeiruj/ZxUC6HCReHhDJxE7I2M9NLZGo1YGODS5zr6+y9ikZBJJO9QafxOCsuGxtc3jR9W5yIzqXEalV8W4RMhsuEc3Ps2xIPlUm2Jib2rrxI3IPp1xpW3IPnaaJlKlqDjPeex0qdHsDNj3U6fE46nf6euH4eLdcNG+CXlnTZcDfLazYralbYBD+MmZODICqWLhfuX8USopXN6gHuSvF+qlUOjL12jT9PSolSyJ93877Z5JKqzOMEECK9HCDLZJi9jArz8wq1GufGWQwHloCNELa3tzG2X/OHhcUhoVYLdytWq6wKiMoF8EVzcpI7DONx7eM6dsxDOq2wtubgxg3Cs8/G/ZKig1KJLzji1RESs7jYxfHjTLimpsKEqzfotD9hGR9XAdmaneWLeLPJvq3VVQcvvqh9XxJsKqqGqDCZDJfGpqe1b6tfivxeRuZ0OqysRZWtfuntoqCZpnhW2Prvm4c39ypagxSldptfQ8zwAJvhAT4XrOrocxqL6dE7Zsfh2JgKqZ3b29qftZsBXgJzo8Gkt8sAP0wVK5cDYjEVhN+2Wno/Gxv6uDkAlp9vNsNEi8ksAgIPiJqlgvcBYB9dKsUTHZJJvk8kgM9/3kGt5vjD0tvodGLodAizszYHbFiwBGyEMDU1ddRLsLAI0OlwCKqQru1tVgJkxl6zSf4FWSta09MqULnGxhQ2NphwfepTcVy5QiiX2cvTamlz9MwMJ7SfPdv1S4oqCE8VNJumWZ4JV/SCGY8jCDiVe9dlorax4eC555yQb8skW+02AeDSWC6ncPKkFxAqCTadmWG1aa/BpgeJe9CEa3Dcg3ikzPE729tMfvoRrWaTz7Vphu90mFRIgKlSuitTRuNEox3SaRVSs65dYwK7FwN8vzE7uwXbHhTDUrFyOYVEgtU/x2FiKg0Vy8tOEIjb6fD5bTbJuGd1qtUiSIwUq1d8jj0PwSB4ntTAn6dkks31QrgKBf4siKLG6+LPZzbL/0h85jNxtFpAq8XD5QsFhXe+05rwhwVLwEYI5XLZJuFbHCl0tyIrREK4RM0QH9fp06xoFQoyyJqJ2PY2lxQ/+1kmXKWSg3KZL9ByMZacrLNnuz5Z4wu8VgFYoVhdpaCkqOMJNHhfWt0qFBRKJVbFXn3VxbPPat9Ws8lln3KZfVsARyHkcrx+UZWyWYS6EaenBytOAol70Kb44cQ98HngTtEo0YqWVuUYAQoM/6JisUE+vH08Hh69w0SLSTOgvVk8QNq9qQE+mUSP+Z1LhsM1wA9TxYrHTQIq3ZlM2K9ccYK5ov0IVrUKPyxXiJQKESwhV0TkkyoglfIMosWEe3ISAeHLZvmWz/Pn4WaK6nvf28aNG/JPRRP5fBLT0wrvfa8dxj0sWAI2QmgNmiJrYXGbUKuFuxWl+0xIl+PoMt7ZszyORzxck5MeymUmXE88EcPVq+SXFCkoreTzKoiBMAlXoaBloHabDfxilt/YcHoCMl23Nwqi02Hf1sYGdyaKb0uCTcV3IyN7cjkmfuk0+7bSaTPYlI3rN4slaDQQKh0OK+6hUpExPE6IaEUJhVJAvc7HZHq0ul1WcMR3JIjH+TiFYAk5SqcVOh39Pq+tsalbho73Q9QAb94P0wAfVbFMNWs/KlYyqULlvW5XK54rKw46nSjB0mXCalUULPSUvuUxURB1aZCJfCrF51dmbmazWrWS+0wGe27GGITFRQ/vfncbH/tYAtevE2ZmgHe/2w7jHiYsARsh2Bwwi9uNaFlxc5NCPq5Wi4JogJMn2Tgvg6gnJhRaLcL164Snnorh6lUnUEnELJzPK38Oo4ezZ3sHYANcPrt4kcnW2poTqFQmMhlgdlanymezCltbTM4uXHDwl38Z87vBwmRLFJ9czgtFXCST4WDTycnd4xhEhTNN8cOIexCiZapaOzu9JbxuN0y0ABWQPAkxjcIc9jw+rtWnRkOXDSU7bTcDfCYjJciwAV6yuG4Vw1KxkkkF16XAvyZzICsVwtWr3BQihnZTxZJtpDRrlrrF5M5p/FGCpYKv5f2emNClQZNg3e5+KqWAl15y8PGPx7G9DSSTnAf2iU/EceqUZ0nYkGAJ2AjB5oBZ3A5EuxW5rEVBCCp31XlYXFTIZFjtEoWr0+FS4NNPhwmXlFnyee35OntWx0Lk8/za3S6XdK5e1d2J9Xp4fURhdWtiwkOzKWN7HHzlK3yB5vBWIVusUMRiuoQzP8++LfGiTU56gW9rt96WVguBmjWsuIdaDVhepsAvJ0QrKnJ3Oky0ul2+4LNXSAEgZDK9REvOuenNSiSU/5qaaF296uzJAN9PzRqGAX4YKhYTLJ2Wz0of72ttzfFjGXoJVr1Ofh6bPmfy83KTz0ksFiZWci+jlyRHTEqD2SwTrYMON98LOh0+f7UaBbdqlY+Lv+fnPvnJGF5+2UUqBXheCzMzLl55xcEf/mEcP/dzu8xYstgzLAEbIdgYCothoF4Pdytub2sfV7HoIJHgC/exY6xwTEwI4eKr9fo64bnnXFy7Fg8UCpNwHT/OREsI1+ysVntqNWB93cG5c3yR3NzsLc+lUjoKYmqKzfvb20y4XnjBwfZ2LCBb0mlZrxNcV5Mt8WbFYlzmM2ckjo0NDjbdb9yDaYrvF/dQryPICDNVrWgJtdXiC2inw2sWIuC6QDrdS3ocJ2yCz+XYkO95fF6KRZ55ee7cYAM8oA3wUW/WrRrg+6lYJtnai4qVTnNulePozktRsVilCxMrycCqVpmINBq9ipyY22MxVkLj8V6ClU7DJ89MtMR7pb1YvZ65YaHRQECi5Djqdf6cC9kSZbfVIt9gL19TUDJttwlf+hIvkptI4shkuET8zDMxAJaADQOWgI0QErfz3yqLuxbdbrisuLYWHjzc7XJZcWLCw+nTHRQK8EuKXJ7b3CS89JKLa9ec4GIqFzIhXCdPer6Hiz1dmQxfLLe3WW2RUT795v9NTGizfDrtodVi39a1aw6ef95Fq6WDTaWUyBlgXEqUHDHXZbJllhIHdQruJ+7BdbUxflDcQ6PB+7t+nUJerWgpr9FgAtFuExxHxxSwF6tXOZGOQ4lzSCQ4oLPToaDj8JVXnIFzFQEur0YJVqFw6wb4W1WxMhnOwhJlD9B5YtUqBe+HSbSEoEiJ0PxZk7TGYuxtSyTCylUyyf4q6VYtFBAyuOdy/Pyws8SYGIdVq7CKxV8LkTSJFZMqCkgXk3Q+nkSCPzOJBBNW87HPf95BpcIxFI7jodPhIfQ2hmJ4sARshFAsFjE+Pn7Uy7C4A2CWFWWgtYyPqdd1PMT8PF+Q5+e5pOi6rFhcuODi2rVYaFix4zDhOnHCw6lTEgvBhCuV0nMPz51zsb4+OApCfFtjY2x2LxaZcF25EkOtxqqREC3J22KjMpv1s1leZ78U+X6EolpF4NG61biHZpOJ1qVLTsirZZZNOS+ML6qdDvk/yx6tZJKJh5QFBRIrwHEOOk9MjPA84sjZ1QA/aJ7hQQ3wt6pisXInZUKtYnH2FXejcu6V9l5x9Ad76aIEC9BkNRbjz0S/DKx8npsnJKJBSoNCtIadiN9sog+hogjhMpUqPR1ACJY8x2ObNKlKJhF0E8vj8Tj78NJpFfj9wqVYjrcYG1PY2YHfrMGxMACfB4vhwBKwEcL09PRRL8HiNYp6XXcrLi872NjQPq5SiYI/4qdOcafb3BwTF9dl4/crr7h48klNuAB9UT95kgnX617HCtfsLLfLS3fc00/HsL4+OAqCc7v4tdptJhNLSw5KJbeHbLVaFCgRk5O8XvEjiV9rULCp5yFiit9f3MPkpDZHt1pMtNbXCRcuOIFXy1R2OAVfZzoJ0QKkq1KPHRJksxzTkc+Hy2vNph4g3WgMdrKLAV6XDb1bMsDfiorFZEAFHX/meWm39YgpUa5aLSEmTOok680MGSXi95VHUWliJUQrkVCYmGCCNTEh5dKw0X1YIa0yUkq8VVEFS76X9z9aDjS/73bDxIrvgWzWCz0mymAqxWVmabBwHAoUPinD1uv8WR8EIiZ53S7geS7KZSZxhcJwzo+FJWAjhWKxiOztSCe0uOMQLSveuEEhHxeRkBYPZ89yiU9IUL0OXLwYw1/9lRsM8QU04Tp1inO87ruPYyFmZ5lEbGyQ79+KYX3d6SnXmVEQqRQrPpUKq1tLSzHU6whehJgX+AAAIABJREFUr1rlC0g6zRdPmfsoHWTi15Kh1NGLaqMBrK2FVa1BQaO7xT202wh8WTKjcmcn3M3Ig7T1hVbOlVJ8scznpTSof0bUqFRKFCDevlqV7CxnVwN8P/M7lyD39TEJvHISH7IfFYvXwudeNwAwAeDg0XA8A+df6WHQrOgoo7zIZVdRsNJpGBlYKohoMLtFzZBRLhMOx38lnruoSmX6rkql3YlVu81fu26YXMXjrNaaxEoIOWeLqWAYu5xTgM+prKtYBPrNzuwHeX8cJ1zObbf5s8+qYxf5PD9RKt36+bNgWAI2Qmjv5qa1uOshHqPlZfZyyCgZiYcYG1N+tEIXMzNMOBIJoNFQuHw5hmef5cDMWi1MuO65hwdXnz3bxcICE656nc3y1645eOYZJiZRwiBm91zOg+vyxWNri+clijle1K1qlZBMqsC3NTvLnhVJkTfJlumtisY9iF9rkDoj+zM7EXM57fna2SFcvOgE5830TsnFr15nMiGqjpTTxsZ0dpQ8zuqT8mMJuDux2+UL+dpaL0mNrjWamyUG+P14kMQfF012v5mK5Xk6SkFIgTze7bJqVS6HVSx5PzXBCndmuq4KOgiz2d7uwWxWBU0RU1O6a9DMv7oV/xXnoGFAGZCCcyXkUXxVYlxnYsXPKcUKnxAo/lpS8PmYmGyJEiixFwCgy4GSiF+vMxHeC7ESL5uoi0RSBufyouSNmQpsu83HI/dsASBfaeV/QngNt2lY5gjCErARgs0BGy00Grpb8do1nfguxCGb5Qv3vffyxUw6BhsNYHnZxQsvxFEq8R9pQBOu06eZcN13HxOuiQmFYpHVrfPnXXzuc71lO8eB30HIryFqDsdWOKEyYqXCf/SFbHHYJH9vpshPTYXzkKJxDxJiOijuQQZNa4O88j1l/HNra4Tz52PB8G+BRBHU6+QP9VbBPjMZrVwJERBFSmIPRP1qt/lifu3a4NqfpMlH1SwuQe7tc3BQFUuS7nmeo6gj5BMs3S3H6pUTGiouSe5A2OQejys/moE/S6mULg0mkwpjY5Lgzu+JWRq8Vf+VxC+IShX1XXFenVatNKnqLQc6Tm9JMJ8Pq1bptD5eUZZY0SN/4DUTVfGvhYlVL8mRnzEHmRNREJbLZE2h2eT1djpCqIB22wmRK/laiJoQRe7uVL7XEH5TC+8rHleYmuoiHrcEbFiwBGyEYHPA7m50u1xWEx/X1atcDhMCId148/NMmmZm2OTcaHBJ6/x5JlwySkcI1/y8h3vv7eK++7xg6PXWFnclPvtsbGAUxNSUh0SCL9ztNvnGfjdCtgCAghb9hQUvuOhqssWEy6yel0qssB007iGTYTJilg+3t3XDgBjh63UERMv0Z6XT3ISQTGr/Ege0quACCfCFsdXS3aL9EDXAmx2HeyUcB1GxeG18/s1uQjG6s/9HEywhLxzboQmWgOc8MuFIpfizxqVBrWKJ/0rKuNEZhHslldHj0PELvZlWEqtRre7us5ICgZAQc36ilG/jcV3qlJBW87zJrdvV3YfhyBDqWbt42YScC2GVfcr0hXabSZaUL00iZX4NaIIocRnigZPSZjzOx5LL8T8NUs5Np/XXtRrwzDMupqYUgCpisSy2twlve5udBTksWAI2QrD+r7sPxSJheZkJxOXLnIslPi7PQ5DDdfq0h+lpJgy1Go/Y+cIXXJRKCLqbhAgcO+ZhcZEJ19wcd9SJf2tpKdY3skAupnLxqNUIr77qGGVEyRPSZGtmxsOZM9J1pkLqlgStdjqsai0vOyFlq181PRr3MDnJJKbR0ETr0iUHX/yiG3QxmmUYzkiSiAwVGJonJjzf1MyvI2RCSAsgRCVqag6fJ8lR0mrW3g3wB1GxRGVrt3WpUOYHtttMWmSbVstBpcKeO1GFOh2de6XjGVTgv5qc9EIdhExKJcajNwMrm92/0Z/LsZpcRX1XMsuSTfqm5yrcHSjHEVatpCyMwFuVSsHvCtQlO+lAVUqPUep05Jz3/i7IOeUO1nCTQZTg8ueY92sSKVl/u63fW1k/kycE3rd83gu+F1IlaflRUmU+Jsc6CI880sLKSgqvvOKgWMyiUHBw9qxnZ0EOEZaAjRDc25X+Z3FoaDR0t+KVK2HzfKPB6ebj4wr33dfF5KSHdJo9LVtbDp5/nrsUxVfkujoW4uxZJlySTr+xwarYCy+4PRd3s/sK4AvN1pYQLq2SNBoUlA7Hxz2cOKECg7w5I1HCRyXu4fJlNxg8vde4Bxm2rcuHDs6f1yGvMnqnl2iJAqCC86UVLbNFPxyBwKS19+Ir5cZobtZeDPAHUbGkVAZQcKHX69SzBZtNJm/VKjcISJYYQwWfBzHNZzIqUEYG+a8Khd7xOPvxX5mhodHuQMnxksR5Tap6y4Fy3k1yJVEd8TiTaSbN+r0UmJ2BppLV6fQSaZMQaULL3jXOVhM/GJcGeT9OH6UqTKpEjRISxV5HzygJ6vFI6bSOjxhEsIYxzkmOd2eHVfVajf8OzM0NZ98WDEvARgilUgkTExNHvQyLfcDzdLfitWsOLl3SmVzVKgVBmydOcDxENqsHOp87x4RL1CIhXKdO8eDqs2e7yGb5Yrax4eDllznaIQoJ+HRdwPMUqlUHr77qhDxb9TohldKlpPl5jkqYmVGhUuL4OJflJMT03Dk3CDHdS9zD+DiXNRsN3USwvOwEHYzs8+klWmKEz2SY9MmFiufyyYVaLsDaXD3IBC9zEaMm+N0M8FEVK0q2+qlYkkwuMRVy0Ze1eR6bqqWDUCIamk02UEtpWMczqMDgns16IYI1NqYCX9z0tPKHTuv8K7O5YTeYoaFcCtS+K+7iBHZ2WLXSWVb9y4FS1pQoiXicP0OxmJTtWMkxOy0BTULZdxYmJSah54HZ/NryOZEOQ0AFJVgu/8nPa7O96a0yM9aEVJlp+fm8ChEtacCQ2IhUipsI2BenSZWpvh4UnQ7880099+JBk8dEZfz3/z6Ol15yfXWzg0KBG2R+67cS+NCHdhn2abFnWAI2QpiZmTnqJVjsAVJWXF52sLTkYHOTCUapREF6/PQ0dx+OjSk0m0y4Ll50/TIf70cI1+yswuJiF6dPd5FIwJ+DSHjhhVgPwTC9IwBfENfXtWdLLqTmjERWsZQ/+kcTLh6ujaB0+OUvO7vGPSSTCEjWxAQrGEoxQZHuw2LRRbcLP91ePFpsAJchx6JocTI+H1O3qxPO5SItA749r3e0D6AN8NFIh90M8KaKZRKsQSqWeWHUg7H5cfFgASqUgSUKVqej1UEiiWeQzjpWUUyCxSn8CBQsJli6ZLUX/1WrJWSqV7WS90lUVrMcKIRFyoFAb/yClGj5eCSJHkHiv9nBB1Docxo9p0KqhNRG1UG9FmFj/cuA5udUzq+QKi7/aVIlJJaVKq1WSblPSJUkzh+0W1PUzX5kKkqqeG6l7tiU0nOjoWddyqQAU2XsdoHnn3eD11IqjlTKQzyu8MQTcQCWgA0DloCNELa2tpDJZI56GRYRNBrAygqXFZeWzOR5B50OgrKiEJ12m30vy8tcZpP/vIVwzc1xCXJ+votYjFWgtTXCc8+Ff93lP34J9Ox2la+s6a5EPbaHL9bHj2uyFU2Rr9V01MOrrzq7xj2I2jI+rgI/VbPpBOXDl1+mgJxIx6EQLs+D32Umw727SKe1YdlUPOSCKxfqaBK8nLN+ZcN+o1P3q2IJkZILoLwmP66317lS5I+U4eeEAOjyoAqCZUXBkgv7+LgeoaQ7CHX+1W4qSnTUTfhrwvY2q1YcWdA7OzBKVsywUDGAS9dePC7+IxUk3Eup1OwuNMHkSIWIleOQ//Nc/pNzypyKS4P8Hmg/mHT+me+/lCplrRILIcGmuZyHQkE+b70KlTy2V4Uwet7NMUm73Qu55/IxfJLFDRKiJkoHpHRwCpnSRF3M/rpZhJVVFZRxXZeP/YtfdEBE/j8Fnl/Gd9Bq2ST8YcESsBGC6memsTh0eJ7uVrx82THG0vCFV8qKx44xsfA8vtivrjq4fLmXcM3Pe1hc9DA1xYb5Wo0N8y++GP71brU0OeEYCLnoa8LFY3v4IjQ35wX3MzN6RmIup1Cp6LiHpSX26/Qbc2PGPSST2tgsasm1a47/XzkFqeFStup2dbJ3Os0ji5JJSeamoL1fTM+Og56uQSknpdP91CyvrwFe0t2vX7+5imWqEeLFAkwFS6+Pj5FvMpPPJFhMrvg2Pq78gdJ8cc9mETQWiMndnEG4m/+q3ZYA297ZgTzkm1UrHtLcGxZqNjyYhEWTFJ3hxZESYQIs43+4lBjOC2u3Vcgwz2GrfB5N0hX9bHke+UoXlwGjpMqMVZD8OFl3KgWMjXkYGwub1U2FSlSr/QTXstdub2RKmlKk2UEIVL3u+PvQ+WLyfkhJWT4zouq5rjKIFH8vCp3r6vKtKMDJpPjjCImE2RUpTRZMah9/3A3y+zyP1+x5HCdjMRxYAjZCsCXIo0OxyBf0q1cdXLjgBt2KojBJtyLPvlMol5lENZsUukhLl+LJk5xf5TgKlYrEMWj/llycxNtUrVIwc07IFhMciXzgkubcnBeoW5OT7Leq1bi7cmXFwVe+cvO4h3Rap7dLBMPSkhvkZ5lEq15nkiIXvkyGyVE8zhdeJlA6lLLVgj+/rvci4Lq9Q6Ple/NCKipWqUS4dq13jI6pYkm3mhAsSbKXMhaTAxUQFVHqxGgtZU7Tf8UZZ1qZ4vEu2ucmY3LyeW1y70cEzNDQjQ0K+a6KRVastrejo27C9yZM0uI4TEDSaT73ktWl+3i4fCelt0SCpyRIrEK0lMcNDxQoVe02Z1bJcfA9BWOIohEXoowJUeA5kbokmE4zqZLGALPsF1Wt9jpqqNVC0CUc9UnJfaMRJlOiSvFcSlGjdImPFSr+3eN/JPRnt78ypRVEPlZdvpRgVyZSouJJkC0/bpJdURiNT1DPMXe7opgRxscVNjcRlH87HbYE3HOPHcY9LFgCNkJYXV21OWCHhGaTuxWXlx1cuMD5Vzs7fIFXii8gol64rkK1Sn68QtgjIyN2FhbYZK8UUC7zfMZSSZdvqlXy08gJrZYKSICQLSnNiXn8+HFWtRYWPN8czxdQ6T67etXB88+7u8Y9ZDLKLyPxH+xqlVU6TbAQKh12u2R017FXxnFUMHBaLg4SUMnnxnxlPjFyDNHh0aYBXso1pRIrjYNUrH4lIDHzi+pgEqxGwwmUIiFYXMbVBEviDczwUGkkMEu22SwfQybTGwdghobyaCMKlDlRrXiCQf9MK7McKORFLvCOQ0invcBjJWt2HPK7AXX5UPxNZhef6ecC+BxwLENUqVL+YGcztkGDiEKkSr+e9rFxeRi+GniwOAVAe5+4W7g/qWo0yI/ikFFXCG0TJuLaLyVKppBts6wXVqZYfeLfm3BIqzkoW45fblIeZLWXia98b/5eRM5u8DnudvVnVTp/dTCs8W4p/Tsh/zTMzHRRq3HZcWICmJ4O5/FZ3BosARsh5HK5o17CXQvPY7M6+7gcPzuHUCo5AfkRdUe62La3+aIlfwSF2HDJj0skMkpHSkeAdPfxPsUUzWoIx0C020xoxAM0N8ck6/hxvvhnMkx86nXHN+9z92O/CnUmA2QynuGrUmi1HH8eIYWIltw8T6tZck+kjfDmTMBkknwiFn5d0wBvqlpigDe9WNy04PRVsTwvbDSWi62pxPDXOuBS/FqyDZe0dAZWIsGENZvl99QsD4oHq1AIj8cxS3ISvyAD0KM+q50dVlX6dQdGSYyoVXJeXZfJiWlwFxIr3h7pJuT3xOzo05lgnsdew27XGZgx5nm9pcFwrAIZpMrz40uYUMn7epA4BbPsWyrxwPNoic+cGyqzJaN+qVZLl13FMyVEyiRTgwgVq2sSVaKHgAuhlZmVokrpfDEKSBAr3oPLx0xutY9NyC7vQwUkyuz+lJv4O2MxVs3CpG13SPdxqeQEryOK3fi4LUEOC5aAWVgcEKUSsLzMHi4pK+7ssBrBZRsVzHvrdhH4KRyH/1q6LjAxIZ4eJlzsByE/W4svFJLOLkoXl2ngJ3vzvsS3deoUd7qdPNnF9LTOQWo02K91/nzvmCAAgdFeLhKialUqTG5MgiX+IUDnRUmw5fg4IJlUsg8hBeZ4HgABSezXaZhOhzsKi0X2iwnJkmHXQrBMhaJW0wZ3Ji3KGMtCBukKd0eKgpVM8jkUBSufD/uvpqd1hIB4iAAdGiqq38aGgytXmCBKZEapRIFRerdyIJ8fHeIp5MpUSOSCal7wJYFfPiOawDHZ4BITq3oSMgqYF25dLjRhvob2f/FNSFWhwJluYSK1e5yC54U7+rj0Hi71yedA33SJb5BfyjSf9ypTOmhVCJasVT4HTLql01ITWVatKETGzO7TflGL8lljhZDXyaoZBWRMZj9KaVfuzc+mkCidP7Y7HAeB/0tmUZrfCxnnaQ4q+AdLfIx/9Vcunn7a9SM6ON+sVALe+lZLwIYFS8BGCJVKBVNTU0e9jDsWzSZ3K1696uArX3GC/CkhI+FxLiooEYrnRKIb+GIuQ56l5EjY2UGQqaWUCqWRywUH0L6tY8fYSH7PPV5QQnQcBInsL73k9I17kAuJbC++m/V1p6dsWK+THwkg3i4P+Twhl/PgOJpocVlL+S324T/Q7M/p9WZlMnyM0lG4s8OlT1PFEiJhKlhSmjNDLZlgKf97s/zSq2Cl014wxJmT7k0FywsULNmGB5LrfKRaTa91awvBuCc96mZwOVDKO6a3DVDBGrWHhwKlylRIdLo9BaOSpPTX6ZikivztVWBsF+LPIEOhMQmWHhhdKGizuhmrEM2oMtcWLedKad00n4syxWV02T7sk9L5YGFlyizP91OmmHTwZ1CTKVOJ058DITeiXgkpkedN1VITKPiEHr4ipQmrzpFD8B4opfcn6zHT9nuhQvd6XSpEmEwypSccIPg8SQnSVFDla+5k1J9PKbWGzznwqU+5wd8cQJeZn3xySEmvFpaAjRLmbIzxviBlxWvXeMi0dCuKj0tG1nBII1/oeFwI/0EWE/P4uOd7pni/HGjKFyYpGUp7v/hlmk3+IydemJkZHmR94oQXpL5LKXNnx8H6eu+/3lrd0cSw0eD1a5Il5RlNtPiPuod0mnyzs/4jLMck2wlMA7x5n0goP4Wd1YvtbT2iqFrVpm1TwRJTs1zImUyJosXnTgiWHpGDgFCk0zzrUTxWExPKVxpVMIdQFKx0GkFzgnQHiurHXisHOzvwDdXh2AWz/Cblmai/hlUMCmVFMTngc2cqQp2OJlU8O5I7/IBwiUoM1XooM/xtyC89moZ6MW5rP1U+z2Z1KRFHfVUSpyBxBtFcqe1tfm8qFQTv684Of216qqKqlGk+N89dP2VKzh8TRM9QgmCQK8BUrEyCI+OFhMD2kigYKqguUYoKJZBSnllijMUQ+BPld6s/+D2WdHszlkNIlPjy5D00xx+x8T1MntptrfDKexD2pJnDxMMKYXQ8k/kPjPyTIH/XAI666YcLFyxtGBbsmRwhrK+v4+TJk0e9jNc0SiXg+nVOhT9/3g1CUOWPtvyXD2jlh1UACsy04+OsTHEXFoJoiM1NHgXTaKhAWeISGv/1/f/Ze/cYR7L9POw7VSS72ezndPe83/uauzs7q4129iK2JFzoyogVGPH1tQ07DgIjEgwnvgnsBI4RJYqtOHISGYltBbahGLEN2UBsGLKCqwiWbTmSrWtkde/d3bu7Mzs7MzuP7ul3N7vZJJuPJln1yx+/+tU5VSyySTZnemb6fECj2cV6nCpW1/n4/b7zHbMkNzHh4/RpDlqNjygUZU3AwaQqfKADOhGeA0ud0KtVr6tQJRDlQEpJMmKSR5lpomUanMfHtYIloZOuy20wSdbSEpcL5du0aWYWglWpSFlMG4VF7ZCSa5RgUTjibmxMt0ViLmZnEYnKYJ9TNDR0dxe4d88NjezSRikLSkcH6PKVSRbMOf0ATXRkguYkc3OjQSHh3d3lcxWyJpCOT0gVf+YqLGuZqepC5nggg0zkrWMVor4qPZKxU1gnf6mIlnvZdxglUUKq5DrJ/0P8+mg1iiLXS3LM5PyEkJiKFL8vWWGaTMlgD77fTT9U9O9Ggw3jkg8GOG2lPHk9OqoVsW4+LKUQUZ2ETEkpMP6ZaxWMYZKnRoPJda3G1zxOUM1ysbwWT2I01DY6klKeJfJ/IyMZJbZClpsxFuboU5N4HYROk8pb9A9LwI4R4r4OC36ora2xj8ssK5pSvHQ24sERkzORjhBgQzHCoNS9PQ4/5ZKifrjxw0v7p6amgPFxLwwlNQlUpcLxAgLfR1Ce1B2SdKJsTHbCrKlGQ3d6ZomG/Vo6G2tszA87aT0HYnQ+Q8luUgpBx8F+sqUlMYubpadomUnKqKaZWDoA6TjMzlFKmFL+k2iGEydYuTp50sf0tFZKPE8Tup0dhYcPHXz8sRN0cu2TMktnJG0Sf1BcxRCiw0nyiCgVROwr446SO9KdHYDIgcwNaCasy/U3VZx4rILOqBKTuh9+BuPj0TiFdJqC65dsPt/cZIVR5sUUxVPUkCQPWrzEB+iSHhMMihAMmV9RFKBMRo9oZLVIhVEWIyMUKmvm/IlyzKgypf15e3sOKpXOpTwpz6VSvmFyT/4/5xGImkQJOWQCpcuHZglPvFhSymOPGn9B29uLkiEZ6BGfFNy81tqT2E6GNJlSEbJkfhExf+SadCJNMtpRPi/zMxXoUnh8Pd4pz3dq8TRhCdgxwokTJ466CUcO3wfyeS6DffGFi0ePuKzIsQ1s/JYRcfKAl5FOnscPcPEHTU9zx8I+JoX1dT0K0FQ0AO3bymY5TmJmhjsNCZT0fSYRgOQ78cNcOkD2bvC+mk3t1ZI56qKlG13u4JKhLsuJEV4pnQAvIwsdh4L9qzDu4MkTx/CI6KlNxMMj6e+SHySqiHQM0n5RsCSPSRQsndyu4zBMszb72dhntbrKn1m5bBrZ20tbpjLAvietiDiOCgNBRVHSygqC0Y8qGKnoBARNJ7ZrD1LUR8RlZ1ESdbJ6Ou0jm42SKh4haU5JE1V3TPN5uaywsaEN/OI57KRKiRKUNDrR7GjFxG0qeVzaU2GZTKtSOovKPD+zYxfypEkUhe0Q9U++EKRSKkKiRM0zCVZSWc+MZdDqkwpVKCEdWoFiEiUjPSsVDkAW/6DcQzqvq52cSm6XOWjDVEb1a02c5DkTJ01E+h7S6pP+TOKfV3x5Z8LUbsrXAzfMwFa5diq4f6MDEeIBu//qXyUHpslzwuLwsATsGGFra+tY5oCVSsDyMk8k++WXLvJ5JhiNBox50vRovfFxUVe4E52Y0F4ix+EH+c4Om/ElgV3SvlkNQDB5MYUkJ5PR32Y5RsEM7pQRURR2AjLMX8zfOtRTVDLd8bCSpUckSukGYAI2NUVhKrY8mFk5YiVrYSFanpJSlBAsngtOtwGI5glpEsLEVJLbJyaYVM3Ps8l9cpJJoJCOel17rLa2HDx6ZBrZdSdoGuqlswO0kiK/OfVbEysujeppasRPw4MmVFvnJh2UEA+5D7hT8iMlQPGXcflPjwDUyoomAq2WzpeSXDIpf0oZNskvJeTaJFNmxIDupOOjS9uztYToyPXR5IeCwRQyGlITalO5BBTqdfbzMYFKUqOiJEo6f7Ptps/LJE9JhEMUMs7oAgoFB5UKfwHR0/DElb2ogV/+z0y1TUdNqEg5jkmTMgiTVt9MpSlJdYrfS0m/zfM09hasoyL3jkmc5FrqkZv6GpsBrKJsi2VAiKxWBfVIS3PkpZy3HgWpia2QRhPZrA1iHRYsATtGmJycPOomPBM0Gjxa8f59hTt3Ulhd5dyqWk0nVjca/GDiIfSciyWEa3yclZjxcX7YFgoyT6N+gIrqweRHe3LY+6UCQsbLZRSjBJRKG/UE0PJN3AnLnmZ5RMjdzAwrRxKiKeVEIQviZ5HOn0NGWUHhJHxtMheCxbEIWokzO3tNSiTHTKtYuRwrOidPMjGdnPRDIijkqlrVfqKVFRf7+6mQXElMhPbxmCNCNXmRc9dmcu4YdIeqIyaI9IhU2YfZeclE3TwtTXsJUEijmNVzOT8oV0VVBybuUuJDQKh4IvT4KL64QmcqH3J+UWUqWj4SZULuNzOw04w+0N4m8T7pz1R+ZJAIl7f0QAbuqFXEo2WW9VIpTQSF/OkfVge1osbH54EkZJQ+zcDT6JyFUso1J4wW1cm8P0wCrq9flCDFr6+5TF73ojbpc+lEnKIDLszIEJP4aLKkR7rqa2x+ftHBCHEfIX+eFPq6NKnTI16lrebnwuesS+fy+Uu5M67U8fWUieHbc+cAYHTUliaHBUvAjhG8pMn6XgJIWfHxYwd37uiyojnFjHii2LjtBw8iFapV09M+xsa4s9jeVnjwIBU+uCWDR6aNESVBhufL6MF0WhMtmVBZQh4B3YmZHY0Y+Yk45X5sjOdOlABTJlw6ADReohGStbqqIgGUbKZ2UC4jjCqIBmfGyw9MJlMpCsNFp6f1iEEx5DuOLt9UKkCpxPNZNhpupJxjdppmQrrZAYgqI9/sMxkKSYlsE22zA3OqFunUxIwuniQhKDIH4MSEHyiDekoa6ZzEyyXqlMxPKZMemyPMhFCZJb64R0fOMUkRkQ45nVZGjlY07TzeGZv3jUlSxY9oKlDcwZvESaueUqITc7b2tEUDPaUMKyU7UZVkyigdXoqAXEVHh5qjVXWbdWevr1WUOMXjUpLIk3kte/k7ye8ky03SFC/TaWJExuchBMqMDNFfUkzybN4Pcl5aedLX2jxufECG6RETYhRXB5mMqcix5Diibsnf+jrqNugvedFRxCZhNAlYfHCBxeFhCdgxQqVSwdzc3FE3Yygol4EnTxx8/rmL+/e5rChqC3uE+AE1Pu5jfJxCOZ0JF6s3qZQKy4n5PD+tZUJhmSJIlIfxcSZDEjzDg6H6AAAgAElEQVRJhDDBnIffIxw9JyTDHOqtfUj80ONoiegUK2x2l9GMpi8IYblQfEE8FQ2bgcVsbpZUpIORzsKcS07IVDxdXh7IkjElc0yur2tPWlSRUIYiQUEna2Yy6XBHVvJUGLUB6ImWRX0xiRWP0hTvkSYqcv2lzCrm7kyGQjLKBJjLVexjcw0yFfX4CCmJd5pmR6NH1EV9OFKe5LBdrUZqkqzPST5LKUkKAU0q5Zmv2w3wWgERgiHkSojP/j7CEnu97oSEWI9I1cTJnFZI1ElTaRISwISTGxEfRSevD/I19bIsavTX58f/m1oVlmsr5EHuH8fRZFR8Tlp50sRTlDxNYCji0xJiKv+HOvNOSnNCgAgSjWK2n1Un7fkyiZSpWEXPX0rqesCHOQjCvLf0PaIVNlHbtaJq3rNRNUyuq+SXsbom5ySfcVRds+Rr+LAE7Bjh9OnTR92EgdFocKnnzh32cq2uMjkQ0iWjA8UDlcvxw0YUrmyWvQ3lMo8szOddSAL2yIie+iSd1gGdTEwoLG0VCgrlshOqaUCUkMg8jqaxeWJCz/snZn6ldAlJyBon1YsvzQlM16JgqVBdMDs38xu6lAdllNfoqB/MR6jjEbij1p6jZpOVM9NjFs1J4sR06aSESIlfSL5d88NaHtRRtcssY6ZSfqi2maPipKwpUQ7spePrLhN4S4RGocAZXfFRfDJ1UHzkmEmsNAHmc5GSjFLaI6UN9GZHLmRKhaqRSXSjxCmqSLWPHuTXUuIBKJJL1WhIPIETTpkk5TjxNMXzyIQ4mUqTORgirjZ1Ik4mkohSt/dMQmj+bf6Op89rU7j5Wq8j5TkhsPK/ZZYeNUlpn5ZHym7mubZafB/o/1Mh1zoQWStXTJZM5UdIi+nz02XD6H2gVU3t3Yr74rQHq33CbCFOQqSSYiXkuWPOtRm97yk2QECTaPnikRRT4ftauY/Djo4cHiwBO0ZYX19/YUz4RFxWvHfPwZ07KTx65GBriztgmRvR93VJaWpKS+ljY4Dr+pCpdPJ5BddVoaoyPq4f+hzY6Yd5Vq0W73993cHCgjxoKDTyiklZOmAe3q6N2LkchcqPSPqANn83GmI+Z4K1tyfLtekaMPOU+CGeyyFUxoSoyCg6M3leVKlGg8uD+bzOShKCJapHlJzIgz/6rdckLem0aiuTSacpEQpiBBYiKIqWPNjFr8VD+kWdETVGt60zmYqSULlXzHMwTedm+nm83GR2nmaHKa9N8iCkjY/rR0iNkCMOnGXypJUlTZzk3GWZlKK1kphcokvyN8X/V8zroT+7zv9fcXXJJC+dSJPpaxKVhu/vKFmVEZJCcOOlWSHXQn6NVgEwzeC8rJO6ZpazZWBGnPSZ5Ub5W6tl5oAAnQVmln6FqOt7rxvRo0BRVYHVgNVpHS2hyY/8HfdgyXHNWBBzvThJihMo856Il3eTrqH83yTfK8k3UCdiZtE/LAE7RkjLnDjPKcpl4NEjXVZcXeXpccTTJIZsjnTgp4j4aMS/IkQmk2G/kGQ5ua5CNqvVLaX0ZL7b227wAKNQZVJKqwiAg3SagtwuMrK0+OE9MqJHaxUKEtfghJNFC8Eyy29mByBK3Ph4dHSaTk2XBzeFJaxmk8trZoCpdO5mnhCAsKMzSYo8dKXE2v6NXfuyMhkVEhgpd3F7dOfXbPJ0QvKNXOIUtAE8/s1cdypAeydkEiMhVKbHyQzBFKIrWU/R8o0u60hnL3Mhiurn+1y2lDwnHiBARiZVvFynRwm25zV1Jk7x10nohUQleZtMwmGWf7W3iSJERJN7FZAS/WVDPuM4yUhqg1nGip9j0rayvtz/sq2QLlM1NUuA8R/er1au4n4rWUdUH11i059hlNw7IQEWYpL0ORI54TY6hiKao2a2Je4PjO7XVGT5/NuhIu8lk/D2Eb2yTRK5EuWPP+NkhbYbkkZGWgwGS8COEaampo66CRE0m8DSkoNbtzh1/tEjBxsbThh/0GzqTnV0lB+gUhqSb52tlvnNV4ziCOezGxnhElq9zgQhn9cPSyCqNvCccXqCZTHW8/5ZxanVONGeQ0/5G65Mii2qku7gdGcoRn5zZBT/Hff3yDduniePk70RKkVmp2E+MLnD1d4YHccQnStOIgpM5UOug3i4hHAAhFLJCQlfnHCYpSBTvZH9CcySkyZT5oACipAsU4WS4fDSKZrlOtO7JGTJVJvMkEwzZd8sz4mSoO+FzgpTr4h3hnECYq4TVeOow98UkpWoGhXtPKNzPWqCah4zenzTnE3hck2OktsMxH1EWiGUspkc3yzr6R8mTvEgUiB+XwlJp8h7+h5zIveiWaJrN7G3k59On3cndFIg40giNFEVVSH6v9t5W9O0b5Jt3k6HyZrkW/Zplmbjqm8ymQ1bAQBBBaCdbNkcsOHBErBjhHw+j1wud2THJ+IgxDt3XNy54+LuXQfLy07EOC+KhpQ1zBgA/tEPBPEKyVxrEpYq+VLb2+x/MFUbAIFZWhu5Mxk/VNB8X6FWI2xvO8YkweY8hLwP08vBHR2FbRUSIQ8/iQaQ9XmIPlAsRs3zujNoHy0lBnpRqyQNXa6rmS7uurqTEa+QWQaRUqdWsqIkyvw2b0KXpTRBGhmJq1A6ed9Upoi0ouR5FCh2evCC5znG8mgiuh4RGVcYOnei/ZKmOExiGiU55rWgWKdGkXXMklZS6TNOiKL3k74P5P14eKq5v6C1YXvli0BSJ29eH01uVPi39jPKRVTGvSLtihIqJjQqvO/ialBcUTIT36U9nRTDzp8l/191QxIJiitzcTLJr/W1ludHEnk2SZJ5b5jbAjqLy7xPzP9xXZJNaj9F/jZh3p9xmEqk+VnEyW6wVsfPII74vWQxOCwBO0Y4CgVsbw/44gsmXJ9+6mJhQU9oXa/zOvqhpELiIp26OYLMVFAcR5Otclk/wAB+eHDHrwxDNe9TYiF4ZKE2c5s5Q/KwdZyoMVYp7W8xlQnpXIW87O9zTpR4QaR0wfvRJSBzxJ94p3TGlVZlAH0NJGpC/Ci67MLfVs3yiOzHLHfIvkRhETLFRJEipMl1Kfh8mNwBFBI4HSTL56vn5nNCr5dWmKKlR/O8BIMQKPPzTlqe1PHGFYW4mdpUnmSZLnkmK0MCc1LleFv0FwedySSEKVgTZpnJVH7i/iN9jVTs3DUBM1UeszQq++2Uyp7kSZL28d/J4ZxRtBOGTp9J0uv4Z2IqbtH9RklSfP+aoPL9K6TKXDcaQCrXQUX2Hf0t0R2IXGuzfdH7kozXehCA+QVCHzOZiJqfs/mZmORV2mHC/LuTGifnkkRMk9QvPoeDPn+LXmEJ2DFCQ3ISniKaTeDxY4Vbt1L46CMX9+652Nlhr1W9bvp+xDSvwrJYJiOjAk0FiMJv1Dz6RkUevkLUhCQRUZhRJCUJUVPi38KB+EOOH0iuK3lUugQm5EZUMCY4Trh9nJCZypXEGMQ7P4lNAHgKJGmXdNZRxSDq6wKEdPG1kHaLt0eIg/6GTcEPT04sil69rqevMcs+khcVvUb62L2WY/pFUmcQVYHaFSRRjFxXpruJkqj2jqVdNTBV0ijJ0b/jZuf2+6i9Y2q/zxyY95y5H/O+MLeXffd7/ZPOO1gSuxaUuG5yeZFfm8dIMqabJEfIQadSm3lO+u9om/T/tzkCUZemzfX4Pa3gyXWVLzWmuqs9X/F7vf3e7/QZm9fLBLdfRa5DHEnLkkhWEsHqtFxfR/18kDlPk+7Xfv+XX9I4ySOBJWDHCDWZTHCIIALW1hRu3XLxve+5uHUrhc1NHuUnnbtZDjFN1Twlj1YEeHSNPAXE5KwJkKTVCzngh4qKEBvTbCvtaycuUW9RsCYAPVJPHlCd1RQVqF68nQ7nVEaHwYRHE0kAcBIe6vpvwPxGSrF1yRgZZY6C0iqXqbaZ++/0AB82kgzisjwaABlXKaKkydhL7Ai6UzWvD6DDbDl3rVNJJZoKnrwOIvuVv5PfHw6i95mZGafXMRU2TTTMvUSJUZQAmCMPZR/6OLKObGt+jt2IU5xAJJEBk+zEr2HSZ2B+PibxbFeb4vdAfP8K5v1zkEIUV7KS0N5OQvs9mnxu8b+T28Vf1iJLVNJ6yccz22J68JLaNSiexXPkuMASsGOEYeWAFYvA55+7+N3fdfHhhyksL7soFhFOaC3ftgCEAZryUBcTNJeyKLJcYhKAuMdHHiBmGQQwh4dHc4G0d8bs0ONqQnyC5aQHpKyX9O1e2sSqXVQlkYe/GfBokiJdVqBIu8z2dPu23S96eWgmnV+UQGlvTNzvEj9WMrkxOwI9nZDeRl+jeGeStCwefhlXiTqcZdu5xdseWTtBuTAJjPl3nByZ65vL2hW+dkIV93tFX7d30HK/xQkJwlgRfW9pIhS/AJ3ISvLy5GutCbIcO7nDl/WS9hE/L/k7GpbKy6LnYF5n/Vp/qYu3P8kbF91eX89ktS6JfEW/uEW3p7bPOnrOyfeU/lLW/f80Pi+orGf6yKL+w7iPkX9cF7hzx0UyLAMbFiwBO0YYNAes0QDu3XPwO7/j4nvfS+PRIzcYCcij5bRPioIykP6nlpFzZvYPd7z8cNYdNJMVeajoEVLtk+HKxLXBX+Fy6VTMVOfoewBAoSFWdw4UWS/JICy/+//2dxCJGh7JinfWnVSKXvdlnqserXbwzpKuUXsn3Hujkjs+8+/2A0aVo/i2nUmY6TkyiWRyZ5l8DvFtTQUojn7vp2TidBAh6HwP9HJv9KqaxBUrnmKr0zHaFyYRWaMVkf/hJFLc7f7nn3ZSa35Bi5PfJBUwiegkHUvOzyQ68S8zRDqMN+n85VzbEb2u8c8n/lnxczUeS6PvzaT7tZvRfpDniUUyLAE7RshkMj2tRwQ8eaLw27+dwne+k8KdOynk8yowW6s2D4AmTUx+hGRpZUh/A5dvtclyfPf/bPPBkuTR0A+kbvtJeu/FeKJ0e/AlKXeDHqNTp9mtI+9n/0mvux0j6Vyi55pMOgRJxKcTTCWuXwxCcuKdZTey2W1/nZdRpDNNUuc67StJuYu3O5l8JJ9XkurTjRwlrR8f0SxfokxFLYksmvvqdE5J5590XuZxk9ZJOg/EvihK+9iUH103+hl1JvndEN2Paiv/xvcbv17d/mfcTsKYRd+wBOwYYWJiouN729vAv/yXKfzmb6bx6acpbG9r03xSJAHQ6Vvx0ZGZQUnHi4JncX7RkuFw2hAnFQe9jm/ztJHUcfZDppK2P5is6hNO6tB6aYd5jKRRgEC7ub595Gbn48VJi7ksiUiFZ9ahxBZf1su9lPyMMRF9M076enludSL43RQ1c3l8WScfZJysJQ1+SPo8kgiqxJRE14n/UOT99mPL+0kjIQn37jmJhvtstn2ZxWCwBOwY4MSJMfBHPQV+YLWwulrFr/1aCr/6q2l88kkKhYKDZrO//b7shMdiOOj1PunWqSevH/W1HLTfJPLQ7XW343fK1eq03SDqWLd1Ol2r6G/Vdu5RckRdz7mTAtRJ+Unq9JO2M5fHS4DxbZLfpwhRMaNFkmJCkoNHe1s2KLoRtvbPKln9O+h3L+v3tg21tQUAvvMdQrXafiFyOfvgHxYsAXvJweTLnIJIAUjj7NnnKxXf4vlEJ4ISXyf6cO/syerWufXSYbWrPtRx+ySS0htxiSLJ7Nxpnya56bZOJ+XJfC++bZxY9EsWouu1d/q9bNftfogTsPb3Ov/dbf/tpJI6KnJifZDXgOkB1OXKgwiOSVQPIjVJnjRzvU7erE73Yi+It7N9oAC1rR/3D8b3ESwN91WtJh97b6/3dlp0hyVgLz3sR2wxOAbzlR1SPugL3Y81GDnpb9thHH+Q4x1EZIeBbvsa5nH6xbM49styjGGjUnkBG/2cwvbOLz3sP4vF8UWvpNGW0y26YVhEqRdFeZB9Dd6Gbjd+8gHsZNzDgyVgLz0IloRZWFhYDI5hEfTnj+gn9w0vojL3IsISsJceLUQ9YHr5mTOEtbUULEGzeNHQzbPVaVlSoGYvPrFO+9b76+x5Mz01puem075keb/RGb0uPwwBSGr3UWKQdvR//kleKtW2bJht6LS/+HaDDm7pdTs75dDThyVgLzl2dqrGKEgFGQW5s1OF7wN37jj4R/8og9/4jRQWFhxYMmbxIuCguIxe0c0IndwRdjaZJ0VPmKb0XgJR5bfMJxrfxgzxlL/jxKgzIaCObTCPZc4QMUjJLGmbg8jbYchiP/dAt3V730/36AsTvRrtO312SUb5TvdYfD9moGp8YEh0XZV43MXFTkOLnzsZ74WFJWDHADs7PJylVCphcnIyXO44wPXrPn7+5+v4U3/KwW/9Vgr/+l+7+OSTFDY2VDCnnoXFy4v+VYWn/z/RqRPu1XTfadSenl+yPb7D3EargNFICenQk0YOJnX4Qho0adSzUMT347rR/es2qGB9k/gmjzo0jymTdpujIuMDSuIjCHmZ3jGrkDrgVaa+MoNUO/3udLw4On2RaF+uEt8330s6RlRJ1esdDrZfGBaeCQFTSo0C+B0AI8Exf4WI/lJsnREA/wDADwPYBvDHiGjhWbTvuKBQKEQImEAp4PJlHz/1Uw385E8qfPe7KXz4oYtbtxw8fuyiUFCoVgdLB7ewsOgPg5aaekd7CS25LKoi6yTuSUWJT9ejHrCPXpclkcNkAqknME96v33d9oniWR3i3LF0OjqZfCoV3b/jaCLpuhTuT9RMmZNRtpfl8lvWkXbr9irjNYX70ddFT00UJ5Tym1/LNgoyF23SBOkAL/+VX0meOcUm4Q8Pz0oB2wfw40S0p5RKA/i3SqnfIKLfNdb5aQAFInpVKfXHAfwCgD/2jNp3LDA7O3vgOmfOEL7xjSZ+9Edb+MEPXHz4oYvFRQcPHzrY3FQoFp1w0m0LixcBg3pgnhaetoeq3/PrJWpkkJkRnuZ5xufh7Hys5DcGaVsSKey0r3b1Mbo8adLtJFIopCu+v6SAWvM9oF1NdN3oBNzyY67LyyhcL+n68Ty+FsPAMyFgxLMdS3xbOviJf4p/EMDPBa9/BcDfVEopoqN+XL48KJfLGB8f72nd2VnCT/xEC++/38Lt2yl8/LGLtTUHi4s+dnYU1tcVymUHtZpCo8FzmllYPI94Wk+QQTtxoLNiZJbMBJ2maYqX+ZKPJ6GleqfxYw+W9dYdh93PQdv3Oo1Rt+W9qHbmNvLZdJreqD+0+66kTe37S163454TlMNe17V4tnhmHjCllAvgIwCvAvhbRPTd2CrnACwBABG1lFJFALMA8s+qjS87Go1G39tMTgK/5/e08M47Ldy54+LWLRerqw7W1x3s7fnY3VVYXmZVrFYD9veZkPUzisvC4kXEICTD7PQ7deTx97spLJ38TcaaifuIm7pNMteJGEQVmrihO34cMralcJ1ugyeSfE/dPFWdyFCv6Id8HDToI6lsfJiybPyz0CXEeFnYPHBnUtd+L/G+ksj98+CDPC54ZgSMiDwAP6SUmgbwfyulrhPR7X73s7m5iZ/+6Z9GKpWC53n45je/iW9961tYX19HLpeD67oolUqYn5/Hzs4OiAjz8/PY2NgI1Z+9vT2cOnUKW1tbUErhxIkT2NrawuTkJDzPQ6VSwenTp7G+vo50Oo2pqSnk83lMTU2h0WigVquF72cyGUxMTGB7exszMzOo1Wqo1+vh+6Ojo8hmsygUCpidnUW5XEaj0Qjfz2azyGQyKBaLmJubQ7FYRLPZDN8f5jmdOHECi4uLA5/TjRunMT29gaWlSSwsTGBhoYHp6QmcONFCq+WhWMxhaQmo113U6w4aDUKr5aDZtP4xCwvB4OqO6eGJkib+LR20lKwUiKitXJd0nE6v44qcPlZ8n+2N5nXl+BS0q50Q6pGcel0hF9oD5QdKH5+T46jgfAmu68D39fv82gFA8H2C47jwgkwFx3HCEhr7oChYJtvoL4+auKiARKoIEdKkRsH3KUKWNNmkoE1x0irXJP46+r5WL+V9MvafXCLsRE7NZbK9/hz1vSPvd8P+/r7tc/s4p05QR1HhU0r9RQBVIvpfjWX/AsDPEdEHSqkUgHUA8/ES5AcffEDXrl17tg1+SbC4uIhLly4NZV+tFnD/voM7d1xsbTlYX1colRTGxwnFosLioot8XmFvj6euaLX4wdZowBIyC4vnBFHFiyLL+bcQnbjy0juS1KF+1CtzvU7ltSi5SPZXmeXauDqV5MEyr40Y32VZJ59VZ6WRIufheXqQg5jh5YeJnzJeR386XRu9THV9/6DtBd0KJjs7xe47tojg448//ujrX//6e/Hlz2oU5DyAJhHtKqWyAH4f2GRv4tcA/EkAHwD4IwB+y/q/hotsNju0faVSwJtv+rh2zcejRw5u3XKxs6OwtaWwv69w82YLrktYXHSxvq5QLCrs7ipUKvxtEQD295mMNZtHb4y2sDiOiHbqnZjVwYyrU5lUe9MoQmbkd2dypGIkjQKlSbc7fg66DSqyTi9lz4POzVT92s3vScTVPFeKnI++JqqNvJnmeNMwbx4vur68ryIE0SSDncqSJsHzfQRfklVADoGVFZsD9rTxrEqQZwD8cuADcwD8EyL6daXUXwbwIRH9GoC/C+AfKqUeANgB8MefUduODTKZ5GHFh4HjAK++6uOVV3wsLTER29oilMtMxs6e9fHOOz62thSWl11sbwPFosL2toNUSsoNhFZLoV4HGg07wtLC4kVDJ3KjvaC9yWad1TXVRnxMAtROTkzCZ5bWouqePq4u+WnCxmU6UaR4GSUoTCpRoepEbE1CGC1bJl0DFZyDeY3M8zUjKFR4Pcz1k7Le5LfjKIPwcbk0lYpu3w7rARsWntUoyM8AvJuw/C8ar+sA/uizaM9xRbFYxPT09FPZt1LAxYs+Ll70sbamcPu2i4kJB40GkM87cF3g3XdbUApYWnKwve2jUFDY3mYyVq8DU1ME1yV4HsKoi/19ZUdYWli8YOinxGii2zad30siBNFlSZ6mdsKjyQ7nbZklR50B5jh+uJ0mNxQjQVG1Kz4AIUmdM9WoOKGL+tFUh/faz71T+Tf+2twuKRnf4umgZwKmlLoA4B0A0wB2AXxKREtPq2EWw8fc3NwzOc6ZM4QzZ1rY3la4dctFJsP/7IWCgu8rnDnj47XXRAlTyOd97O5yztj2toLnKUxOElIpzpyRUqWMsrRzlFlYPP84qBPvRKg6+by6bTeI16nTNvx8iZdA24naQeeXpDjFyZz5mwNZCZmMJnRmOGxUlVKxcibACh4fzPe1esfnag4g0H+bvjMzlJUIqNctC3va6ErAgtDUPx38XAXwAEAZwASAV5VSjwH8EoC/Q0T9ZxxYPFMUi0XkcrlndrzZWcLXvtZCqQTcvp3CgwcOfJ9QqymUy0A6DVy96uPKFaBU8lEsApubDra3HWxtKezssOdjbAxIp334vsL+PsH3gUoFqFYdNJs28sLC4nnDYTyd7cpM+3vx/ZtEpN0T1tmj1q293drRbZtOx9T760ZsDlafOg0eMJP2JcWfw1cpLC/qFH8/3CadpohSJ6/v3LGR908bBylgnwL4LTAB+24QJQEACPxc7wP4jwD8AMBbT6uRFsNB84jMVTpLjP+p791z0WrxN839fTb0T04SpqaAc+c8NBoetrcdrKwo7Ow4yOfZxE8EjI7yN8TJSaDZ9EDE5cpKRYWjLS0sLF5sJHupkv82lyWpTkkwjf/m3+b7SQQqiZQl+aXi+xL1iRUqHlXaiaQeZuRit3JsN/J3EFmNteCgFSx6xEEE7GtEtJn0RkDGPgDwQTDK0eI5x+nTp4/0+LkccPOmhxs3PNy96+KLL1zU6/yeUvxNrNFQyGaB8+dZGavXPayuOlhacrC7q4JoC35CZDKEdBoYHyc0myzZ1+tAqcTr1OvKqmMWFi8o4iRJECdb/ZK1+DHMdc1RmfH14qQsibx1U9JkgnAhX0nHSlK3up8Dxc6/s//L3G+365QUdxHbQ7c3LfpAVwKWRL4Up9WdIqI1Y72tp9A2iyFjfX19aDlgh8HICPDOOx7eessLs8T29hQaDYV0mpDLsf+gXmdfxJUrPm7caKFYVLh/n5P4y2X2i9VqPPw6leL9jo4SJidZdm82CcUiE7daTdlypYXFC4RupKbbcqCdyPQTN9Fr+bSbuhY3usdHPurw2egoxSRi1KnsGmyVeOwkctptuT4ehcdqNCzRetrox4Q/DeBvgzO6mgBySqn/AMD7RPSzT6l9FkPEs/R/9YKkLDHOC2Mydfq0j1aLVa9CgZ9SX/2qh9HRFp48cfDFF26oiBUKnD8G8ANtdBTIZoGxMR9nz7IptVQCdna4VFmvc7nyMF4VCwuL5xPdVLEkxNW2bjEMvRDD+Dpx4tONvHV731TOktaLK3p6Um0x3uvyp6wr5nspUR7kfbMYHvqJofglAAUAlwDcCZZ9AOB/A2AJ2AsA130+TZXJWWIK6+sO0mng8mUfAGFlxcX2tgKgMD4O/KE/1ECzCXzySQqPHjkoFpmMlUoS7spPkdFRIJUizM0Bp0+zZL+3p0JvmahjEkBoYWFxvBAnTL2OtI6XJeMjE7uN4Oz2rIkr9Z0UsG4l0+AoMENg43EcJqGzpOvZox8C9nUAZ4moqYK5HohoSyl18uk0zWLYKJVKmJmZOepmdERSltjKioOFBQeOw0RsbMzHyoqLQkHhyy9dKAXcuOHhJ36iiZUVBx9+mMLKioO9PSZZ1Son79frHF8xOgqMjBAmJwmnTvlotbjcubnJKhpPKs7rmsOyLSwsLOJIKln2Qt46RVQIgYsrXXKspN/mftrLlSphWVSJS1LT7HPv2aAfAlYEMAcg9H4ppS6af1s835iff3HGSsSzxBYWHDx65EApB5cu+XjjDQ8bGw4WFx08ecI/U1OEb3yjgUwG+PhjN1DSHFSrQLXKGWKOQ6HiVa8rjIwQRkcJb77JZKzRUEEUBqC4k9cAACAASURBVEdl1Go8qbjnWUO/hYXFcNCtjNmZwMnKOqoiOk0RhQTOTMhPOq68NtthSdezRz8E7P8E8E+VUv8dAEcp9e8C+J/ApUmLFwA7OzsYGxs76mb0haQssYUF/jl3zseP/EgT5bKD+/fZP/b976eQSgGvvOLjx35sH/m8wne/m8K9ey52dxWqVZ5kttUCXJdQr0vpEshmCSMjhDfe8OD7QLMJbGy4yOd5ZGW1Kt4xS8gsLCyeNdpHOEbJWrcaomZXTNZURHUTAicZYkSA59ma5NNGPwTsFwDUAPwtAGkAfw/A/wHgF59CuyyeAl7kuc2TssRWVhysrDiYnyfcvMkBYPfuuVhbU7h3z8G9ew5OnSJ8/est/OE/3MSdOw6+970UnjxxsLfHZvxUipDLEVwXqFQ4d6xY5GWZDPDKKx6uXeMS5sYGB8QWiwrVKqFScdBs8jyWkihtYWFh8fwhSt56GVFp8fShXrRO+YMPPqBr164ddTNeSNTrdYyOjh51M4aC/X20ZYlNTxOuX/cwO0u4d8/Bw4duOLF3Ngu8/rqH117zUC4r/OAHLj76KIWNDVa1qlUFc5qQcpkJ2tgYYXycMDoKzM0Rslkf9ToPENjcdFAo8BRJe3sK+/usrDWbyvrHLCwsXlrs7BSPugkvFD7++OOPvv71r78XX94zAVNK/TcA/l8i+r6x7H1wWOtfHVpLD4AlYINjcXHxucgBGyZaLeD+fQeff55CpcLLxscJb77p4coVH4uLDu7dY9M+oI3+b7zh4eRJwsKCgw8/dHH7tovtbZ48XLxio6Ms8RcKUTKWzQInTxImJz3s7zMZW1tzsbvLKlq1yr+bTaDV4riLfgiZNtTykHELCwuL5wmWgPWHYRCwNQCvElHFWDYO4D4RnR1aSw+AJWCDY3t7G7Ozs0fdjKcC30ckSwzgEY9f+YqHa9c87O4q3L3rYnHRCUuFU1Ps93r1VR/NJnD/vovvftfF48fsF2MCBWQyQC7HZUg25yuMj3OZcmwMOHXKx+ysD89TWFlxsLrKyli5zKpYucykrtnU6lgvhMwcDQVQ0G5LyCwsLI4WloD1h04ErB8PWAYcwGqiAeDlqGlZvNCIZ4l99hmHtP7gB6xuvf66h5s3W7h5E/jySzc07X/veyl8/DGb9q9d8/Duux62txVu39aRFpUKZ4spBczPE65c8VGtAhsbDjY3OU8sl3OQywFnzvh47bUmJLdsZcVBPu+gVCI0GqKQqXAgQDdCJkSRl+uJdNk4S8E2lpBZWFhYvIjoh4B9BODPAPgbxrL/FMDHQ22RxVPD3t7eS6uACTpliX3+OfvFXn3Vx/XrLbz9toelJQd377ab9q9d8/CjP8o/KysOPvnEwSefpLC5ydMl7ewwGTp3zsf4OKFUUlhbYzK2taUwPs5k7OxZD7/397YwMkJYWnKwvOxgY8NBqcSp/ewdI+zvqzACQ9L5uxEyPk9NyCTtmkudlpBZWFhYvAjopwT5FoDfBOd+PQTwCoDTAH4fEd3ptu0wYUuQg+NlMuH3g3yeidjCAofmKAVcuuTj7bfZsF8sKnzxRbJp//XXPeRybPp/9MjBxx+ncPeug+1tJ0jOJ7iuwuQkYWzMR6HghKrZ+Lg28F+86OHcOcL4uI8nT3g+y5UVmaeS1bC9PaBa5dyxVovJXjwQtlMatqmO8WuC5yEgdJaUWVhYDA+2BNkfDu0BA0LP1x8AcAHAEoBfJ6K9obWyB1gCNjiWlpZw4cKFo27GkaFYVPj8cxcPHmgf2LlzTMROnyY0m8DDh51N+2fP8v9KqcR+se9/38XiIvvFfJ9zxdJpYGaGkMkQtrdZ9TLJ2MgIcPmyh0uXfExPExYXnZCM5fMcGut5QK2my5Wex+qYTJdkKmFJU5CYRMxxeEJzUcisSmZhYXFYWALWH4ZCwJ4HWAI2OJaXl3H+/PmjbsaRo1LRWWItjg/D/Dzhxg0P58/7UArY2Ohu2s9kmPxsbCh88YWLjz5ysbbG+WIAkMmw8jU1xWRsY8PB0pKDWk0hl2MD/8gIcOUKj9acnfWxtsbrrK46WF/nfTH5QjiykqMuVFiulPkru01PYpIxxyGkUgoAwfMoUNksIbOwsOgdloD1h4EImFLqnxPR7w9efwdmnK4BIvqxYTX0IFgCNjiq1eoLl4T/NFGvc3BrPEvs7beZFDkOEx8x7UvMhSTtX7vmYWaG/yVaLeDJEwe3bjm4dSuFrS3OF3NdnnuSFTAgnea5LJeXo2QskwGuXvXw+us+5uZ8bG3x1EubmwrLyw5KJSckXDy1EsddiHfMLFf6vk64Nud8k9+mQpZKERxHwXUJrRYFxE7ZDDMLC4uOsASsPwxKwP4EEf1fwes/2Wk9IvrlobSyB1gCNjhexhywYaBTlthbb3l47TUfqRSTGtO0LxDT/qVLfjgvW7UKPHrEqtjDh+wXa7WYiGUywMyMj5ERIJ0mLC+7gTIG5HIcd5FKMRl7800Pp0/72Nlx8OCBg60tVse2tlQwepJCM3+5rGMu9vf5d5I6ljTJrzbzcwk1leK/Wy0ZIGCnXbKwsNCwBKw/HKoEqZRyAfwlAH+FiPafQvt6hiVgg6NQKGBmZuaom/Hc4qAssZERXq8X075ge1vhyy8dfPRRCisrPNUREQJzPmFmhglXKkVYXGRlrF5nIpbNMhm6csXDjRsezp3zsbvLytj6ugTAspImsRQ8spL30WiwOra/z2RMCBmgyVickJnqmOty2zIZglI8B2a9rmzSv4XFMYclYP1hGEGseQAniehIvwtbAjY48vk85ubmjroZzz2IEMkSA4B0mgnWW295kCpur6Z9gMnd6ir7xT75xMXmJsdROA77xMbGfExNsWHecQgLCxyfwcoYkzHXBS5f9vFDP9TClSsedncdLC6y0T+f5xDYUskJSpCsXlUqPE1So8HtZQKFcDLxuHfM9xEqeUBUHUulEChk/JpnDUBA8GzZ0sLiuMASsP4wDAL21wA8IKK/PezG9QNLwAaHLUH2j7U1hVu3ODYC0IGv16+3MDmp1+vFtC/Y3wcWFjib7M4dJnm1msLICGFykn9yOSY6ngcsLPDxhYyNjmoy9u67Lbz+uodSiQ38CwusskmpUtrieaxelctRdaxe1+pYNPi1s0KmvWNcRs1kuD0yerNet2VLC4sXEXoatO7rWQLWH4ZBwP4tgK8CWAFHUIQbWhP+i4H9/X2MSB3Noi/k80zEFheTs8QEvZr2BaUS8PChi08/dfD4Mc9H2WxyiXJy0sfMDJcARXFaXGQyVq8DY2M8ktJ1uS3vvtvC9estVCoOnjxhdWx7W2Fjw8HaGhv1BY0GK2PVqgpULD1dkpAnk5Ad5B9Lp6OELJVCWLKs1/nYph/NwsLixYUlYP1hGATMmvBfcFgF7PA4KEtM0I9pH9CRFg8ecIlybU37xWZmmIwx0VNIpwn1OqtoGxsuqlVNxhyHS6DvvtvCu++2sL/PZOzJEwcbGzyX5eqqg3KZ2+Q4nA/G6hj7xYSM1WoIwlxVmM5vtjdphKXOHtP+sXSa59NsNDQh299XbYqbhYXFiwFLwPqDzQGzwOrqKs6efWbzpr/UqFSAzz9npUuyxE6e5AgLyRIT9GPaB3hUJpM3B7dvu9jaclAsKqRSwNycj+lpVsY8j9WvWo3J2OamJmOZDBOhCxfYM3bzZgu+r0Iytr6uUCiwiT+fV+GE3wCXJnm6JASECSEx43KlahtdKdEXQLuh33W5ZMlEjIJoDlHIOP1fBgpYlczC4vmHJWD9YVhJ+D8F4D8EcBbAKoB/DODv0TNkcZaADY5KpYJcvLe3OBTqdeDuXc4S2w/GB8ezxAT9mPYF1Srw+LGLzz/XURTVqkI2S5ibI8zN+cjlmBhJexYWouul0/o4P/RDLbz/fgvpNJMxnqNSYXeX57FcW3PQanHbOBtMRlZyGZFLlkzKOJdMtY2uBLg9ZuYYkS5Xiok/neaSZSrFhMzzCLUawmM0m8+2bCntlN8WFhbJsASsPwyjBPlXAfxB8GTciwAuAvizAP4fIvoLQ2xrV1gCNjhsCfLpoZcsMRPr6wr37vVm2hfs7Cg8fMgxGUtLOg9saoqJ2MmThJERCv1W9ToCHxin6mezFGZ8nT/PZcqvfrWFXI4VN5kwvFDgCcdXV3lqJIDJExGrY1yq1IZ7LimyCmYSMqWSJxU3fWQyupLLlUzIRCEjEoWMiZ9JyJ4lKRNYUmZhwbAErD8Mg4BtAvh3iGjZWHYBwMdEND+0lh4AS8AGx+7uLqanp4+6GS81fJ9Vrtu3o1lib77p4Y03dJaYoF/TvhxjdZX9YrduudjY0H6x2VkmY6dPs/pWr7PXSkZe7uxoMua6moyxMubhxAnC6qoTErLtbWB3V/xjTliqdF0mnXqKJBVOlcSjIHW5Mu71EnUMaP/turxvJmNaIRsdRRA8qwmZ+MiOgpDJbzvS0+I4whKw/jAMAvYQTMCKxrJpAB8R0StDa+kBsARscGxubuLkyZNH3YxjASKZmiiaJfbGG5xwH58Rql/TvqDRYGJ1/76Lu3e59Li7q5DJAPPzPk6dYkIGIJzYe3+f21YosBl/dJTC8uDZs0zGvvpVDydPEjY3VUjGtra4VLm9zSGwQnxkpgBWx/i3TCbOIyD5fSlZdjLzA+0jLNnMT0inefBBOs2esmyWS5bNJlCrKeztqTYfWadHm1IEouHNf6nVPO2Hs7A4ajxN9dYSsP4wDAL2XwD4BoD/BcAygAsA/msA3wbwz2Q9Ino0jAZ3giVgg8OWII8Gq6sKt29Hs8Ree83HW29Fs8QE/Zr2BaUST4H0xRdO6AOrVBTGx5mEnTvHYa9yDCZNXKYsFh2USghHUmoy5uH991s4fZpQLGoytrbGRv1CgX1j4n+T8qLvs29MDPx7e0yUeGojVrNaLSfMHzPnrjRHV5q+LDb0UxB1oUJDfzrN0zwRMcnjY7EHrtXqhZDx72F1UjIaVDBMUjbstlocX6jYd5B+7ilLwPrDMAhYL48QIiK338b1A0vABofNATtaJGWJXb7MERYnTrT/Hw5i2hdsbCg8fOjizp3o/JHT04STJ31cvOgjlyM0m+z3ApiMLS+zglYsKoyMaOJz9qyPd95hMnbmDJvll5eZjK2uMnkrFHjy8GJRhcTJDZ4G+/tMyJpNhWqVUC4r1OtOqI5JuZJHlHLchlJ6cIGcu5AxQCtkIyOskElemsRfAAgiNniuzGqVM9bi+WYmdImR4PvDVcmE2PIxCZ43vP0L4bPqm8WzgCVg/cHGUFhYBew5QbHIitjDh92zxEwMYtoHmIAsLzv48ksub25tKeTz7OUS4/6lSx7SaS4dbm9rMra6yvEXEoEh5MQkY2fP8kjJtTXtG2MyxurY5qYTkhwhCUQc41GvsypWqaiwXMmKFYVkzPNURPUxCYapkAGijjH5kjBYKVkKIZP5MisVFY7sNH1kSY9DPg6TQjn+YUdKmoRMzi3pHA8D83q/YI/5lxqHVzH5XjxKWALWHywBs8Da2hrOnDlz1M2wCNBPlphgENO+ua34xR4+dJDP84jHkRHCyZOE06d9nD/vI50m7O05EWVsfZ3J2O6uCs37AHDmjI8bNzx89astnDvHZcCtLS5Vss9Mlyo3N52wpCqxFI7Dc1ZWqwjnriyXVViuBNjr1Wo5YTlRYOaPmWRMVDIJgx0Z4ZBaIWOSSSb7EHVOfGTmcTp51MxO1FTlDhNjIYQs7t0Z1shPc9+WlD1/MD93KeMPhqdP0CwB6w8DETCl1K8C+J+J6Ptd1rkJ4GeI6JtDaekBsARscOzt7WF8fPyom2ERQz9ZYoJBTfuCQkHhwQMmY0tLrIqVyzrS4sIFwunTHhyHS5QyorPRADY3FUolJlfmMeJkDGBf2tISx2ZsbDDBKhQ4/HVvT4UdjZAxIh4sUKtpc325zEoVkzdWx2TKJFamAFanpOMhKKM3k0ccj6hkMpbJIJzDMk7IGg1CpcLzZtZq4lnT78dnAAB4P0Rs7jdDaWWbQVQPUyXT+9Ol0WHMJGD61Z51xIdF74gP9AAGJWj6/+UwsASsPwxKwP49AD8PYBLAvwFwD0AZwASA1wF8DcAugJ8lot8cfrPbYQnY4LAlyOcbzSbw5Ze9Z4kJBjXtAzrS4tEjF/fuOdjYYL9Yo6Fw4gRhft7H5cs+5uYIAGFjQ09j1Gyyr213l8mYSTpOnSK88w7njJ0/z8+Yel37xlZWeHLx3V0meIWCE1GdZMLvWk2Fpcpqlc9VMsG4A+ISaLOpwnIlP9OUoU5RsFw3UAJh02lCNouwZCmETK41G/u5HaWSwt4eq3hJylRcHXMcCsqb2r8Xf9z2S3ZkZoFo+VWTsmGQKJOUmVlulpg9n4gP+pD7YbDPqzeCZglYfzhUCVIp9R6AnwTwNoBpAAUAnwH4Z0T0gyG3tSssARscpVIJk0nD7iyeK3TLErt2zevo9+pm2r92zcOZM93/1yXS4tEjF19+yapYPu/AcdgvNj9PeOUVngrJ84DlZTcMam21EBAp/jHJzqlThBs3mIxduMBt8DxgbU2F6tjeHsJSZaGgQiIppCqTIXgeZ4xVq6ySVSqszEnZkI3z7GXj+Su1mZ/LlRReEyYW+j2ltH9sdJRHgzIho4CUaWLoeYRqFSiVmIwKGYwTFbM0CmiFTzrHTqpYvx2n62pSpgkYq4Cmp+wwJCrJs5YUsmvxfMEkZ6ye6S8Fh/nsLAHrD9YDZoGNjQ2cOnXqqJth0SP6zRIzMahpX1Auc6TF/fusWOXzHPY6NkZhvtiVKz6mpnzUarxOvc7btlqsVBUKbOo3RxOeOkV4+22eDuniRQpJQz6vfWO7u1yC3NlhZa1WA8QA7/s6nLVeZ0K2t8eErFRiUiaESCkmbY0G0Go50N/uEXZCYq6PZ3iZ/rFsVkJhNSGT0Z2iuNXrTMhKJfavxY39JuESU78cM6kzPAwpk07XdWEco10Z1Neh932bx5Afs4Rp1bIXC6mU/mKgFJfxiVRk9HESLAHrD8OIobja4a19AGtE9EwGQFsCNjhsCfLFRb9ZYgIx7d+7p9WqXk37gs1NjrT48kuexHtri4nGzAyTsTNnCJcvexgfJ5RKTKIaDd621WJTfaEA5PNOJHphfp6Vsfffb+HSJQoJSqkkpUoX6+sc5Lq7y4Rub88JvFZcduRpiygImGWPmYyq3N0F9ve5ZOg4fJ6NBsKRj4AmRkzYxD8GmESFSPvEhJDpkqUmZLIvpTixv1QSMtmeR2YSMu3zIqPkp1UyszRrol9SFlfKAFYF40rZYUmZqZTJ/qxa9nLBErD+MKwcMHN4hbmhD+DXAPwZIto4ZFu7whKwwWFzwF589JslJjisaR/gsuHSEk8K/ugRB72KX2xujsnYuXPsGRsZIeTzrIzJCE/PY6VqZwfY2nLQbOp2zM3pMqVJxup1YGVF+8b294XQseIl+5Z5IsfGKBxZySZ+9o8xeePSpOcxcZIpmhoNJyAimjjIwIAoCdLEjcNgOe5CEzIKVSchZAAfq9mUdjuBSte5jGf6r1yXyWY8MyxOyszyYy8wVTJR88RTJ+cq7ZM8tkFJGQ+wiOa4yb4tMXsxYQlYfxgGAftpsOn+5wAsgSfj/lkAH4AN+r8AoElEf2Q4TU6GJWCDwypgLw8GyRIzt42b9sfGgNdeO9i0L6jVgMePeR+Li9ov5rqE+XkmYxcvEi5e9OC6TKJWVpyIylKvA9vbHE/RaETJmJQpr1zRZEx8Y8vLDp48YUVPSpWlkgpHkHLZkeM1RkfZRN9sqtDAv7fHilyzyeTRcbgc2Gxym1qtqFnfzP7S/jFERjzy6EoeYTk2xmqZhMIKCTEJmedx9MXODo+2lLkzuxEy141eCyFJApOARUuPB3+ecn4mgZTPSUgZl6j0/g5DykxiJsuElA26X4tnB0vA+sMwCNgygFeJqG4sGwNwn4jOK6VmAHxJRHPDanQSLAEbHNYD9vJhbw+4c6e/LDGBmPbv3nWxu9u/aV9QKCg8fOjgwQM3KFGyX2x8nInY/Dzh0iUfFy748H32ta2uOpFOttnk/LD1dSfM/wKYjF2/zmTs6lWKnI/pGysUWA0rFDirrF7XowKrVS5V5nJ8PZpNoFJh478Y+SWl3/Mokt4v80ua/i0hX47jh3EXJiFzHF2uHB0FRkf5NxM18X9p8pRKEXyfAnWQy5bNZudplExFSUqrZtkyiZTFc9LkvW4wSVLcTyYFEBlsIcRMVK1+YF5bOU50QMFw1bLDhuhaWALWL4ZBwFYB/DgR3TWWXQPw20R0RimVAbBJRNPDanQSLAEbHHYU5MuLpCyxmRnC9euds8RMHNa0D3CntrrKfrHHj3laoq0tHikokRbz84SrV32cPeuhWlVYWHCxsRFVnFotJldra5zDJZidZWXs5k0mY+Y5lcsIkviZBHqeLlXW63qSbknbHx/nEiIRkywhYaxKyUhK3ncqpac0ajadwKgcnf7HHGmmyYIK1uNjjYwgJGQy52YqJaVPPWoznSYAHH2xve2EhFLyyJIImRAs1xViFG2D+RmZhEzQK7mJly6jZCZavjTJ00Gm7qTjyO/kUZ5aKRvGzAGD5LQdZ1gC1h+GQcD+AoA/B+Dvg0uQ5wH8JwD+dyL6BaXUNwD8aSL6yeE1ux2WgA0OW4J8+ZGUJTYxQXjzze5ZYoJhmPYBPcn3o0dSomQy1mqpMNLi1CkfV6/6OHXKR6Hg4PFjJxztKccVMra8HCVjJ06wyvf++802Mra/zyXPJ0+47NlscqmyUFCoVHQaf6vFClg2S8jlKBg16aBYZPIm6li5rImXKDSNBu+T4y54f2YnHie8TMp4Xddl75goY1GFjNrIgIy+3N8H8nkXOztAteqEhCxOnrQ6Zo62lJDYZEImbTY9cL2UL02VLO59C44QrKdH1kmb+1W0hIDJsZio6jBfjlhQQ1PL4mG6LwuGoQBaAtYfhhJDoZT6/QD+KICzANYA/BMi+udDa2UPsARscNgk/OMDyRK7dctFqdR7lpi5/WFN+4K9PY60ePDAwdqa+MUU0mlgfp5DXs+cIVy96mFuzsf6OitokmUGsMnd94HNTU7Wr1ajZOz6dSZjr7wSJWOex+qeqGOVCsJSZbksqhJ32pLMPznpI53mjooT8YFikUuWu7vsNRPiJYS2WpUw2KgxXtSxeAlQCBnApEvyx+KEzHUpUvojQphX1mgA29t8LYVYJvnITEImfjfOM0Og8rWTsvgUT3JP9ELK4oTMJDJKUaj0yaAGs8Q4CHHSHjm+lo7Do1l5vyqyb6uWdUev5MwSsP5gc8As7FyQxxBE7Ln67DM3nGi71ywxwTBM+4KtLfaLPXrEE4OLX2xykkuUs7OE8+d9vPKKj4kJwtISj7iU9H2ACQqRwuYmsLjoolLR70nZ9ebNJl57jdpI4va29o3t7HDnXC6zb4ynOOLnYbXKAa8TE4SxMSabrZaUKnXmV6mEcGQllxRZhaxW9XJTuRFiw4b6ODlgAphO64T+0VEgm2VCBkQT+gHeTvLKfJ8J2daWnr7JJGSmQd+Mi3AcVvbMdsSPYW4rMElht25EjqGUaisnMpnhkiuXYaOkrNPAhINgloRlDlAJ6mVSNny1rN+RqC8yLAHrD8MoQabBox7/Y7ACtgrgHwL4K0TUGGJbu8ISsMFhS5DHG/EsMdcFXn314CwxwbBM+wCCJH2OtBAytLnJEQ3iFztxgs37r7ziIZ3mUZcLC3oScoC9XL4PbGwoPH4cJWPT05qMvf56Oxnb2xPfmIP1dfa+SalS0vQBhNEXo6OEqSmeTxJgI3+xKIn4Wh2TeA0OueR9imomRM1UGrR3S4WkQ2InlKJg3kpdrhwbY8IlCpyoWYAmZKOjXMrc2eE5OM0ZA0xCFg9UFbLE14pJCpNIFVGPZB/m9qL49aKUJXnJhKDKsYWUmQMcBiVlppInpEw+R4CvNxHPM9rrOfSC+DybLwssAesPwyBgfx3A+wD+BwCLAC4B+O8BfEhE/+UQ29oVloANDpsDZgEMniVmYhimfUG9Djx6xKrY2hqn57NfjMNa5+Z8zM4CV654uHrVR7PJZGxx0Q1S8vXxfZ/nq3z40MXenoq8Z5IxGekoaDR03tjyshOk5zOpqlZ1adHzmMz4PjAz42NsjIKRlayiSbmyXGZ1TMqS0unLaMdmU2eBmeqJJkDcdiZjUf+YTCiezTIRy+WihIyJEBnbSD4an8/GBueRyXmZhCNOyMRHxt43QqslRCwaSdGNkJllVxPxcpccT0ileV3Ex8ajPsVPZhLWwUiZ/JbpplKp6MhWfX1UxPh/GJjnBbyYxMwSsP4wrBiKd4ho21g2B+BTIjo3tJYeAEvABodVwCxMHCZLTNDJtP/qqx7eeMPv2bQv2N3VJcp8ntPzt7YURkYQlihlTspLlzyUSjyScmFBp+8D7AsjIqyucjxGnIy99ZaHmzdbeOMNv42M+b7pG3Owt6c9YsWiCkdqEmmz/uQkYXLSDwmQqGKFQlQdY6WFO/x0mpUxKVfKqEvTMyW+LSYzyiAF4kHjcqWMsOQBBayY+T4fA+D5K/WoTCCXY99ZscjRHzs7UR+ZqdgkETI5TyIhZbrRJuHSpFLvx9x/N1JmklEzT81cl6eS0p+bxGI0m4NlipkqGcDXUSZp50EaKvhpL2EOQy0T0groa2f+fl5gCVh/GAYBWwFwI4GAfUZEZ4fW0gNgCdjg2NzcxMmTJ4+6GRbPGTplid240cK5c9HsrU4Ypmkf4M5mbU0FQa9MEPJ5Vm7ELzY9TTh3zseVK5wxtrWl8OiRiydPdPo+wCoaEWFtzcH9+3pQAgBMTrIy9t57LVy71k7GAJ5kXHxj4qOr1ZhUSYkOIFSrDopFhUyGMDNDyGa5867VtDq2s8OErlxGEL6qIPlgrkvY2+Opl0Q5ixrYEm0rDAAAIABJREFUpWzng1UgFSEZRCow9PsYHVWBSkYYH9eTmccJGc8KwApZNksol4GNDZ7lYG9PK4GdCJlkmkn2mZTxuE3t806a5n6zFGuOYjS7pDjxkDBaVspU2z3FCpnOWTMDawclZea1B/izymS0KkikjH3r0Z7DVMuAqGIWJ2bmOs+CrFkC1h+GQcD+BnQJ8gm4BPmzAD4ioj87xLZ2hSVgg2N3dxfT0081ps3iBcZhs8QEu7sKd+8Ox7QPcMe5uMj7W1lhMrO1xfNCzs76OHmSMDlJuHjRx9WrHk6eZOXr8WMuJ0qHqBRw6pQPIi433rvXTsZMZSwpsqNS0b6xtTVWDqVU2WgI4SA0GtzOVkthetoPvGO8D4624FIrlypVkDGm1bGREaDZJFQqvI9GIxoXIeqXqFJECMuDQn5EqUqnfYyN8ajTbJavVSql/WJAlJCJQpbLEapVwvq6i81NhWLRCY398dGeUYWMiRmPJCWDmGhzf5JKJl4w00uWpC6ZBMP0raVSqo1A6wEATMqiBExFRo4OEiBrnvfICAXTUUUJnznS1jznwyAeVtsLhknKLAHrD8MgYBkw4foTYBP+CoB/DOB/tCb8FwO2BGnRCw6bJWbuZ1imfYFEWjx8yGqU+MU8j1W72VkfU1PsFzNHUj5+zOn70sk6DnD2LJMxUe6KRU3GxseFjHn4yle8xHNuNIDVVVbGxDcmpcpqVQXlNlaESiUmWxMThJkZH6Oj3FGz6Z/LlPk8+7J4ZKU24jOJItRqCCb2ViGxFYiKppQP12WyI4Z7IWRMUnRCvyhkExNcxmy1VISQCWlQihWyqSlCva4JWaHghCG3QmLM9uh5JilsHxM/CttnBsWacRTxkqf4vUxvm0kAZXshRRLfkUqpNhWxEykD+NiiPvZLykxPmZy/kLJUSgGgsNQsZWRRaodRxoxP6ySv5RySlLFBj2cJWH8YiIAppX6801uAnoybiH7r0C3sEZaADY5KpYJcv/KDxbGF57E5ftAsMRPr6wp373J58LCmfYFEWjx+7KJYRJgvNjICnDzJ/rOZGfaLXb3KJOrJE17fLJOmUux9IyI8ecIKoBBGoDcyJiMxhYxJbEa9jvDaSSe7t8cZZ+k0t29ykkJFg0uVXG4V0ibzU4r6lcnwo1fKlY2G9pYJCWDyQ2HchUkqhJDFDf2ZDI+wnJjgHDQuT8roQN6m1eI2jI0Rpqd5kvHNTQfr65zaX6upNh+ZacqXsp38PTKiy5aiFMk28ewurZJJZIUcR5NFgUnK4vlncVIGmIMNmJSZKh8RIpEehyFlopTpEiaC+BNEiNnTUMvkeiQhXro86JiWgPWHQQnY4w5vyUYKABHR1cM3sTdYAjY4VldXcfbsM7PrWbwkIDp8lphg2KZ9gDspibRYXnZQKgFbWw52dx1MTfEoyslJwunTHPZ6+bKPVgtYWOBYi81N3RtnMgjm0PTx6FEKd+60k7E339RkTDxVcRQKTMaWlnS6f6vF5UeJVEAw3ZDEXkxP8/lnMoR0WqFaBXZ3Hezu8vlUKpxBlqSO8fyWrHzV6+1qVDotihCXGk1CIT4pVmpkQnFeN5djgphOs6LpuqLkaEImCtnMDJcbt7aYkOXzKvSRxUdaAuYck0yopGzJvipWouK5ZPHcLj13pKmSRZUy8zrIfvjYFJK6dFpPBSXrxkmZECS555hoqjb1rxfER5vyVFUUjsYkQhgb0qmEOQy1zAz5Na/PQfu3BKw/HGkQq1LqAoB/AOAUmLz9HSL6xdg6XwPwbQBC+n6ViP5yfF+WgA0OW4K0OCwOmyUmGLZpX1Cvc0TFw4fiW2K/WLWqghGUPnI54MIFDns9d85HpcKBro8fa5M9wGrfhQselCI8eJDC559HyVguR/jKV5iMvfVWZzKW5BuTEZSNRjSVfneXA15zOVHH/NBTtLPDitjmJqtjpmFfyIMoK9WqnvdSJjc3RySahMzzVKiiCSFTSoUjLKVcmclwuXJ8PErIRCETMqIU55DNzvIxZF7PjQ1pc1RhiitkMp8lE0dNlGR+znjZUghQ1JMVVcl4/k7VRgLN6yJkUKIwXDeqqmnSJqTMCa6b3g+TTV3+NXGQOT5OytJpJuOZjPbqNRpaLZMBIMNSy+IRIuZAljgsAesPR03AzgA4Q0QfK6UmAHwE4BtEdMdY52sA/jwR/YFu+7IEbHDYHDCLYWFri4nYYbLEBMM27QuKRYUHDzjSolhkArO15YBIR1qMjwOXL7NfbH6eYxkeP2bPmOkJy+WAixc9EDEZu33bjUyVZJKxN9/sXJ5tNqO+MRnsUK9z+r6EkRJxnlihwN4tKaem0+zjqlRYOePRoewdq1TE+M3EwXVZzfI8BGZ+Cjxb0fkrXVcrT6kUd/Js+hfCoz1m6TSPsBwdZWIwPs4KmevysVMpTpk3CQLAZbf5eW7/9jYTss1Nhd1dB/v77T4y0wOmRxvq+A7HYdInKpk54jJeJjRVMgl2FVJmli7jpEyInGzP+WRR/5mQMl3ujZIy3z88KYun+o+MUDBbgp6XVMgpE3n9+Q4r6T8OS8D6w3M1FZFS6tsA/iYR/aax7GuwBOypwipgFsNGpyyxGzc8nDrV37PlaZj2Ae581tc50mJhwUGlwn6xnR3tF5uaYiIhfrHJSSZsnL4fnQppYoIT+okIX36Zwq1bLnZ2omTs2jUP773n4fr1zmTM94HNTV2qlGO0WqyOSXkIYL9XoaBQq+lS5fg4hZNf7+ywcra+zupYpSJzVmpywoZwJnts5kdQrtS+KylXSjmSiLPBhOiYWWVs6GdClsnw/rVCxiNBmbBEFTJAE7KREcLuLrC+zkqoGPs7+cikRCf5X0ohUIj4bynb8XZcLhUiGCVNQsgAnbKvvW6dusW4SpZK8fnJNqaK57p+8L4mSPK5S/ny8EoZl6szGR8jI6Lc8bUzr6Oom4C+rv2WTU1YAtYfnhsCppS6DOB3AFwnopKx/GsA/imAZfA0R3+eiD6Pb28J2ODI5/OYm5s76mZYvIRIyhI7dYrw9tstnD/f/zPmaZj2Ae74njxx8PAhj4qsVNizVCxymOrJk+x7OnlS+8VGR1nxk6mQxLsmbbp8mT1jX3yRxq1bbqSMOTbGZOzmze5kDGAlUMjY1pYuG5bLKtIp7+/zyMliUSGbZWVsetoPptdhtUty07a2HNRqrK6Jd4yn+5H5JREqZ/v7ujwI6E5+dJQCssFkplbT+2EPmPi3+CeXU+F0SJOTmpDt7ytwyjyFbREPWSZDmJvja18uMyFbXQW2t93IROfxkqCezkjfY+k0k0hAB9yK6ic/SWpbksHfHA0aL13GBzwIKZWyrERdiMrI6/lIp3l/+/tRb5eUgZNS/ftRyvizUKHZX+4LIoRxJ6a3LK4c9kIJLAHrD88FAVNKjQP4N+D5I3819t4kAJ+I9pRS/z6AXySi1+L7+Pa3v00/8zM/g1QqBc/z8M1vfhPf+ta3sL6+jlwuB9d1USqVMD8/j52dHRAR5ufnsbGxgfHxcQDA3t4eTp06ha2tLSilcOLECWxtbWFychKe56FSqeD06dNYX19HOp3G1NQU8vk8pqam0Gg0UKvVwvczmQwmJiawvb2NmZkZ1Go11Ov18P3R0VFks1kUCgXMzs6iXC6j0WiE72ezWWQyGRSLRczNzaFYLKLZbIbvD/OcstksarXaS3VOL+Pn9CKfU6PhYGvrJL7//Rpcdwy+72N0tIof+ZFxjIysYGSkv3Pa2anj7l1ge/sUNjbKSKdTyGbTmJsr4L33xuC6xYHPKZc7iU8+qWBhIQOiKaysVLG3l0WtppDL1XD5chbN5h5On27ixo0sRkbWMT09ibU14P59D3t789jaKsN1XWSzWaRSu3jjjQxarQZu3XKwtDSLlZUGHMdBOp2GUjW8/baDa9eKuHq1hIsXT3X8nIrFJlqts/jssxJ2d3NQKoVarYZUahyl0j4AD7ncBHZ3y9jfz6JYTAXXIYORkT1ksz6mp8exu1tCpZJDsehgdRVoNrMolZqBbyyNRqMFpVJIp324bgtKZVAstkDkotFwUa/7UMoFgrkZMxkHrtsMAl8d7O8TGo1U0JmzYub7FPjHgFTKQy7nQqkWRkY8zM2l4bpVpNMOPM9Fs9nCyEgG9XoLzSYhnR4NrBJOULKsAchiacnD5mYahcIoymUK5tXU5UfJHnMcBdeNBuoyKfKCCcddNJs+fN8JlSA22Itpn8mT6yo4jh/4vZzg3IR4ynl26ucko40CMuRAKT9SJuXwWh+plI9MRgFogShlEGBO22flUYUqVvQ4BEn+79QOPQqTAmLqB0G9DpTy4DhAs+miVvPh+25AzBQAFZlZIgrC2tqWfe71cU7b29tHS8CCybx/HcC/IKK/1sP6CwDeI6K8udwqYIPDliAtnhU6ZYm99RYrWL1miQmelmlfkM/rSItKhcuP29u8w7k5nhh8dJR9blevcnmViAclLCywUmd2WCdPEi5fZs/YrVusjMloSIDzt65d8/Heey1cv+6FalQSmk1gbU37xup1Xs4lRBWWnJQilEpcxqtUFKameLaA6WntHSuV+Ly2t3ny82qVlS/xjnkeBaoXd971ui7r1WpRf5GM3jOn66nX9ShMs+wlozVHRgjZLEdgjI0B09M+xsdZkavXdTyE9jPpst78vGSRcVr/2hrPa1kqsY/MnLvRNLPLLANS0pX4Cy6xakVIyo9StjRnADBzzbRKRpBJvE01yYQ54pNDWmWkI7+hDfw6p41HovIxeBCFVvCkfCkTu5t+tPhIxjjMtsjfklUmnj4Oz+Xr/uRJ538oq4D1h6M24SsAvwxgh4j+XId1TgPYICJSSr0P4FcAXKJYAy0BGxzVahVj/WQGWFgcEp7Hvq7bt3WWWDbLWWJvvNFflpjgaZn2AR1p8fAhlwLrdYRTII2OMhmbmuKy2tWrPJJyaoq9QysrbN5fWnIiXqkzZ/zQM/bpp2l89lk7GXv9dSZjN250J2NEUd+YXFMiHvkonjAAQcSFg91dLkexkd9HNosgeBXY3naws+OE3rFaTUWmH/I8FYzG08cQ4ichrHKejsNlRxm95/sK+/tcspSUfWmbqDE8hyUTsvFxYGrKx/g4k0Bz9KaUO4WQOQ4wN8fn1GpxiXhlxcH6uhPOSmD6yMw2spFf/F+6PRIDIeVYbaSXsqkuF4pJn0mVfDpMxritBN93Ekt6QoSEGAqxk/3ESZmUVEdGKFCsdBnYJGViwJf72Dxep1iJZFLGxzTnT43DErD+cNQE7EcAfAfALQBya/y3AC4CABH9klLqPwfwnwFoAagB+K+I6P+L78sSsMGxvLyM8+fPH3UzLI4hiHg6IdMjlclwlthXvtJflpjgaZn2BfU6Z4U9fOgGURYI5khU4XyUo6PA7CzhlVd4uqZsltsl6fsrK+3p+5cu+QAIn3ySwmefpSI5ZKOjhDfe8PHDP9zCO+90J2MAD4IQMmbuh1UyFUZceB5nkxUKrKrIqMqJCQpN7KUSe8byea2OMRmLhpBms3wurIpx+a5WAxoNJ4yhAJg0ZLMIypWEZpP9aPv7mtwJhJBls6xOOQ4wMcGEbGJCG+wB3lbImBxPKU3IiAiFgsLysjb2C7E0k/blMzFHVgJ6iiYmZBT4sxw0m7pMCZhp/rwvLleq0A+miQ8ri2aelwmzVJhOi0qmAsO/GYQrJFJIsR/eH42GJsTiXzMN+KbpPp73FcdBoa2AJWD94rnwgA0DloANjqWlJVy4cOGom2FxzLG6qnDrViosJbouq1dvvun1lSVm4mmZ9gXFIpcoHz3i0YrlMueLNRoKMzM+5uZYNTh7llWxixe5zLq/z6WchQU2/cvj1nU5i4xDYQk/+AGTsa0tXcYaHSW89horY++84yGb7d7GWk3nja2u6jkwpTPWpUo+H54CSWFykkuVMzMcWzEywsGuTMa0Oia5Ys0mZ441mypQZkyDN5MBJmSaYEm5UkpdrkvY33fC9aScB5gjGzmzjbPAeK7OqSk26gOynSZVko8lye+zs4QTJ5jQ7OwAa2sprKxwbAcTQR3carZTBgXE55XkLDQfSrEKZZYG5cdUyWR/orZxCVQb9GWaKnMfgmgJlYLcNiF38Tk/EYxaBbJZHyMj/3977x4j15me+T3fOXXpqu7q7uo7m91kXyiJkkiJEqnZMWCb2miNjCezcaw1NruwsthdGQgWswGMYBHDTjIxBgng+WeBMRxgM+ud3Tiyd3zJwJkZ2+vY44w8Y8u7IiVRpEhR6vv9Wt3VVdVVXVXnfPnjrfd85/SFYje7uqq73h9AiGJVV32nijPn0fs+7/OSN6xQUIGp0INE2e74Df8/D0IE2OEQASagUCig6bP+k1oQTojVVYW7d23Pa6IUMDzs4sqVw2eJMdVI2vfjj7SYnrYqE4l0U6e2GImZSAS4eJH8YufO0Q04n6cq4OSkjeXlYPXnwgUXQ0MOymXg9u0Q7tw5WIy98MJnVwzLZcobY0HGvjGetguHjfDgiIvNTVrYzVOV8Ti1di1LVyIuuDpGwbZ+LxK3CONxElecyO845O2iKUwjsHidEcUnkKjY3ra8FieJA3o+t+F4VRJHUbS1aa8drDVX1lSgQsaCDAA6OigcNhLRSKeBxUVa7r6yQlVNbjv6Jx5ZkNFAgQ5Uh8Jh+l4siypjJFB5qbmpkgUnLo1fLuhZVCiVtLeKyN86Zfj5to2K786sV1LKH25r/GQUpEu/HAfY2bE8IR30lMEn2EnUPSqmQgTY4RABJogJX6hL0mkSYhMTpno1MEChrofNEmOqbdoHjFF5fJxajaUSsL6ukE5biERMpEU8Dm85OAvLbNak7/v9YNEoCbeLF0mMvftuCHfvhrC8HBRjly5Rm/Latc8WY+wbYzHmD5gtFk3KOi+i5lZlsQivMtbaSjfxaJRu2EtLFlZXLW/bALe/ymWujpFw4apduYxKaj+n9JsKHYsFEmTkdXIcEy5rqlxcMWXDuEZzM1fXqELW3k5VM38AKlfXWGiwiEomKfoiFuPoC/p8lpepMsjVIz4nEDT28zYBgJ7DbctIxITEct6XvwVIE6hcfaLKFnvJ/L40rpJRlMbBVTJ/dhuHsyplMuXofYN+suZmOie1kc1SdRafpZJ4wI4TEWAC1tfX0dnZWetjCMK+ZLPARx/Z+PTT48kSY6pp2mdyOWBy0sbYGJnACwVq4W1vK7S0kF8sEoG3HHx42Lzv1hYwNUVizJ+uH4tRSv/QkIudHeDWLaqM+cVYNBoUY49zLem0EWP+SpzjmGwtvhn7W5XxuFupjtFEaHOz9tqZCws0Wbm8rLyQV55iBKhdx34wwExW7uxQRhm3AzlcNBIhQdbURG2/QoE+S65qmgqR8jxmZOg3gowmQI0go2EAI+Z42IAHF9rbjSArFqmCOD9Pqf2c2M8+sv2M/dS2NCuPdu94LJXMYnW+BvpnsErmD3rd/R8JLHJpwjTY7uTzmMDaYGI+DQkERRkb7iMRjZYW+jtaLALb25a35WI/RIAdDhFggggw4VRQKAAPHtj4+GPbW9WTTGpcvUpi5KiVq2qb9pn1dVqBNDlpo1AAMhkSY65LbTPekdjf72JkhEz5vEdyc5MCX9lrxrS0UODr0JCLfB64dcvGnTthLC0FxdjoqIuXXy7jpZccVOKKHkmhEPSNsfA1XjWz1JpblRsbZBCn6hgJnJYW7d285+fJO7a8bKpjPBlI3wO9XjxOAo52UWpvunJ7W3n+MZ7Ka2oC4nEynds2kMtZlUoanZPjIJRSXiBsUxNNWLKgSyapPRyLodKOM2KqXFYBDxkLss5OqhY5DlXI5udp2pK3Euzs7DW4BwWZ+Ty1hrcxgHZwwldl4yXtJhqDX5cEmdo1cWnejwUZh9UeVCXjqh1lvnHkh/IqXv64jXCYWu0HIQLscIgAE6QFKZwqSiXgk09sfPSR8XM9SZaYn2qb9gG6ec7PU4tyZsaqLNsmAaOUQmcnRViEQrwc3EF/v2lrra8rTExQ+j5nqQHUahsedjE87CKTITH24YdhLC4aMRaJkO/t5ZepMpZIfPZ5y2XKG2NBls+bx1g8ALx7EBXfGD3P36qMxag6ZlmUpzY7S2uf/NUxMpFTuzKfV5VKFwDoSi4X/TOXI7Hlrw6Fw1wd04jHqeKUyVjIZuFVONmDxf4tGgCgFi/ngHV0sCAjAUOm+oMFWWsrCTKeylxZITFGgpPXPwWN/SzIuBrGQpvFlW2b1iv585TXqqUwVv5u9lbJ2AvnX1nFu0TLZRNWe5Ao4wR/XvhtIkzoZ/yt8SAaqdTWAY8J+yECTBATvnAqqUaWGFNt0z6zs4NKZcvGyoqqZHApZLNkfO/uJiHQ1GT8Yl1d9N7s4ZqctDA9bQeEUTJJeWQXLjjIZhXefdfGnTshLC0Z0RKJACMjjtemfJxJU63pBswRF1wx5MciEe1NAzoOKgGwqrIeyVSbmpoobJWWfFOrNZUKVsc4ZkEpszORBZzWLISoLZjJUKSEMcmbpeCxGP0qFOhzpQXkdGYWZFzd4YgMbs/xmWkSlE31QUHGS7ZZ8CQSRpCFQhqrq8obfFhbo4w2TrbfncvFLUL6v2MSoiy2mproOgBUVhbt9ZKRyAp6yfyCjIUY/75U8q9/UnvaqP61SrzsO5WSFuRxIQJMkBgK4VRTjSwx5iRM+8zWFjA+TgvMafqOWpTFIvmsurq0N+U3MkKTlFzBcl2q3k1N0WJxf/p+d7fG8LCDCxdcpNOq0qYMYXExKMaGh0mMvfTS48d+bG0Bs7O25xvzG8U5R4xaieTp4lYlEGxVJhLaaz2urlJlMJWiSI9czh9+aiYLKSSVRAYJCDaPUxyIP+4iFOIKHGeKaWSztBkgmzWtQA5XpVYhCTL/hGU0CnR2kiBjUz0LP24R7hZkzc3kIWttJQFDnjgSZEtLJMjM1gHT8vOn7PNUJfvI6JooXoKrZ+xF40XrfpHor77trpIx/J7c9nUcy5ug9D/n4ClIqYAdFhFgggSxCmeG+XmFe/eON0uMOQnTPkA3zeVlirSYmrIqk2eUTs9+sWSSxEpvr1kOHo3Sz7suZapNTNhei5Pp69OegX9jgypjH3ywV4wNDTl4+WVqVba1Pd65CwXaFjA7S+03//uSIR6VWAgVaFVub5MASyYpPqKpiapOtMKIhhjW1/2TlUYwsU+pVFJe1AXABnaNYpHalZmMma5Uis38JMg4PyyTIUHGbV1/HlYoxBEPCAiyWIyqXbzWyXURmBzkiUe/qT8W0+juJkFG0RcUdDs9rSqJ/cGA2P0EGfvFeOcjCz5uW3IVktuWZj+mScbnz89fJfNPXHKblCZHTevy4F2QUgE7LCLABFlFJJw5DsoSu3rVeeL24UmZ9oFgpAWHqKbTFICqFGVYtbRQW478Yi7OnzdLp8tlEkWTk7Qv0r8iqL+f/GIXLrhYX6fKGIsxft5RxZjjAIuLyquOcRsXMBUdXitELUTTqoxGTasyEqHgVG69sRctlTK5Y6ZtRtWxfF5V2oe6UrEhE3u5rLGzozyh5R8oiEapXRmP0+dZLNJnnMspr7XrvyWyIItEqE1JS61VRVy5aGsj0ekXZCw+OfSUBVlTk0ZXF9Da6iIW08hmldfmnZ+nlVC0fWDvdKNfkLFXjqtfALysL1o4bsz9Zsfn7ioZDSz4c8n4nNzaXV2VFuRxIQJMEBO+cGapRpaYn4NM+5cvk1/rOEz7zPa2ibTY2KCb5/o6CY5wmFpjlFhP7cThYTdwjcWiWYW0sBBchTQwQGJscNDF2poRY/7kfAqRJTF2/frjizH2jbGJ3x+poZTxdTkOkMtRhYurY44TbFU2N5NJ3rLo8xgbC1bHeDqW/VPFIokO3nPJC6W5cpbLKa8FSOfRFQM8kEhw6KxbeZ5VMdSb6+JrYEN/UJDR73t6aKiCNw7k80ZI+QUZtwOjURJk9P7kXVtfV5idpTVKbOxnX9xuzxbnoXF7lnxkJMwiERKz/mqkCVw1lbvdVTJuW9o2Anlxu75paUEeEhFgAjY2NpBMJmt9DEGoGtXKEmNOyrTPpFIm0oLW9pDIcRyFpiZetUOtPVoOHmzBFgpUWZucDHrbePJyeJgqaX4xNj9vxFg4TJWxl15ycP26g/b2x7++rS1uVdqBuAyAxBhPsWazJKDSadOqjMdNq5KGFFw0NdGk4Oysjbk5EnhcHTM7Iak6tr1N1xqPa8+jxf4orsRtbbFJX3ntypYWoKWF2pXRKLWjMxky9Rt/mmnbsSCjNUX+DDM6M31eJIp4gTadgQWZrlSeSDR1dlKFrKWFqnibmzRJOzNDwbcsIk2Wl3/SUnt+OW5bssjiaiRXGB3HnIGrYv4F7CQgH/X3Uipgh0EEmIC1tTV0dXXV+hiCUHWqlSXGuC4Jm4cPq2/a5/dbWFAYG6NWH1WRgI0Ny4tIaGuj/y/v7ia/2PCwWdYMkHicmqJYC//i7kiE2qrDw9RWXVtTuH3bxvvvhwLtTBZjL75IYuww66J2doK+MfbWARSeGouRmqBUdqpYbWyQSKLMMTbEU6Wso4N2MmYyCp9+StWxtTVUAlPpdXm5dqlEgoxDXTl7jDO0CgUSfge1K1taTPQECTIrYOjn5dw8YcmRF5yUH4lQRa+310VrKwkyaqGaycZCgc35HENCgiyZpIXkLS1kmN/aUlhYUJXv0PImSdnYD+wOYzXp/HzWcpnajyzIuG1JlTZdaYGqwN+R3YgAOxwiwARpQQoNRzWzxJiTMu0zxaKJtOCJxK0tqtSwXywWM2Gvly65GBgIXmsmY1Yh8UQpQGKIzfu9vRStcJAYu3DBxbVrZVy/7qCz8/HvI+wbm5uzMDNjB3xjoRB9P7ZN10lRDpyfRu/PK4daWqja09dH+yTLZYq5ID+Vmaw05nZTiSqXFeJxqsL5pyJ5VdLGBq3nIUyjITxaAAAgAElEQVSbMZFwkUigUqHS2NiwkcmYhH5jeA8a+mMxEnWWBU/Y9fWRuNuvQpbPq0o4qsmFoz2dVCFrbSVBlckAy8s2JicpAiOdpgpiqWTan7uN/SwQ+fPg5eo0CWqyyu7f35X66kME2OEQASZgZ2cHUR6hEoQGoppZYsxJmvaZrS1gYoIiLTIZah3RHkdaM9PZqStCwCwH7+szS6UBav1NTpJnzO/7aW4mL9jwsIvubu21Kd9/38bcnGnxhsPUznzppcOLMcD4xmZm9vrGeOrQcai6xVWgjQ0SV7GYCYANhYCeHo22NqpybWwofPIJ5Y6tr5OIMwn7JPJ2dshbFwqZCAjHURWvmq6IQMpB87cro1FUYjVcJBKUlp/JKKRS1h5DP3/WPCHK/jFuG/Iey95eEpVa+wUZvIGD3YIsFFKVaydBphRVRVdXbUxNUUjs+rox9vtjJiyLqmC8P5IN/GZV0aMqYOIBOywiwASpgAkNTzWzxPycpGmf8Uda+NPqXVchGjWRFi0tlKQ/Ouru8XSlUiTGpqaCq5ASCVqFNDJCrUDTprQxOxsUYwMDRoxxmOzjksnwaqS9vrHWVk6+J1GUz8Mz8qfTVkWwmVYlVZlcRCIaxaKZME2llGdwZyjWQlXECirtShN1YdsmCyyVovw2/l55VVJLixFD4bAZMMhkzHLyoKGfl4oHDf2hkEJ7u4u+PjLnUyWLhhZIhFFLlaqtRpDZtkJ7O52BhwG2txXW16ldPjNDAbHZrKpsG/CfR3srlEiMPmoVkQiwwyICTMDCwgL6+/trfQxBqAuqmSXGnLRpH6AKxuyshbExEhxak6E6nbYA6IrRnN63o8MsB98tPldXWYwF24QcEDs8TJ/T+jqJsffeC4qxUCgoxrq7D3etOzvGgL7bNxaPkyCzLI18XnnTotyqLJfpGrlVGQoB5865aG11oRQFpI6NGTG2ucmChnZHUnI/iTTL4gqRqY5ZFmVmcdWLEv0BblfS+SimoqVFQ2uN9XXLaxVzNcqfw8UJ/TzhyoKMWo9UIYvF9goyrpBRbpfZF2nbCm1tGokEnSMSoc9qcxOYnVWYmgphdVV5if1+H5llwTdpuhdpQR4OEWACcrkcmo/bkCIIp5xqZokxJ23aZzjSYnycxAb5hqjSoxRVWng/Ii8Hv3DBpK4DJBI4fX962vIWYAOU3TU87GJoiJZ/sxh7/30bMzN7xdi1a2XcuHF4Mea6nDdG1TH/bkyO5giHSZCsrZEA4+Xh29vkb+JWpW2T8OztpUrk9rbyxOrGBnnHeIqSXl9XPkveW0nrisjEryoGd41CAUilbGxsmBVI7PmKx4FkkjYaNDdr7OxQ4G46bQz9fqg1qDxBFonAa33S+V309VH2F4k53rNJBn+KrzCtVjqLQmur9oRhNEoDCLmcxuws+QGXl6ndSuucDv4+RIAdDhFggrQgBeERVDtLjDlp0z6TSimMj5N5P58nUcMtSqVIoHALiv1i587pgDDkacypKRKs/rT0nh6Tvh+P02tzZWxmxlxrKERi76WXSIz19Bz+s6W8LLPKiFEK6OrSiMVcuC5Vw3I5eEZ+8rgptLaaVmVTE33PiQSJmYUFy8tgS6VIxHF1zLapOkaLwqkNGYuZdHxAVdYy0STn2pqFTIYnJcl71dRkBgm4XZnLkXhLp/cPhA2Hg4KMJyxZkHV10dBENKoroaskoh4tyCh2o63NRWsrXQcPIczPW/g3/+Zgv7AIsMMhAkzA5uYm2tvba30MQahrqp0lxtTCtA8YETU+TiKKwjhJMPH0HnvD4nEKex0ZcfeY6x2HbtSTkxQvwZ+VUtTuGxpycfEiVdg2NhTee4/E2PS0hVLJtH3PnzeVsaMI3WyWWq5zc1Zg1RKAiieKxEomQ0GnWpPY5koVr0RqaSFR0ttL1THbJsP/p59aWFwkP9fu6hivA+LqGO2ipPcrlyk4VymNUkkjnSYPVj6vKn4wM13Z3k5+vJYWEngk/jj3i97L7x+LRk3sRSxGFTP6c/r+urtd9PRQha9cpmqnv0LG2WscvMrfhb91+pWvRCvToUHCYY3lZfGAHQYRYAJWVlbQ09NT62MIwqmg2llifmph2geoMjQ1RdW45WW62RYKQDZLfrHmZnjhne3txi/W0hJ8nVLJpO/PzwfT9/2rkMJhqkS9/76N27d5B+ZeMfbyy3unNR/3eubnLU+Q+St08ThVisJhar0tL1veUm+eqrRt2vfIJvZEQmNggIJZSyWaLPRXx9g7ppTyqls7O1T9Kpdp+CEaNWZ+CpPVyOeB9XUaBPFPJ9J0JVUjk0nteb5SKYX1dctXyTI/oxTHXWhEIsoz9HOFLBymlP6eHvr8WSjn88pLwmdBZttGkH3nOyFkMnv/kj/3XAk/+tH2nj8XDkYEmCAtSEE4Ao/KEnvqKbOP8TiohWmf2doyK5B4AjKTgRfd0NZm0uvPnaOw14sX94rDnR3yu01NmSEAgASWP30/FAqKselpy3sv26Yq2rVrtA7p3LnDizHXJWHLq5Gy2eAmADa1Ow6wskK+snKZW5V07kSCKlMsZPr7ScgoBaRSJMa4Ora+TiKOq1uctbW9rbC9TVOasZjxqoVC9JpaU3VsZYXblXRGej61K3lnZjSKin/MRF74BZzW/vwxals2NQG27cKyVCUpX6O3l3ZZhkK7BZmG49A5/vzPQ1ha8gswEpM3bzr41rdEgB0GEWCC5IAJwhNwElliTK1M+8zyssLEBBmzi0U6TyajvDU8bW3aC/ccHHRx6ZKD/n6950z5PMV+TE6aChtgglyHh83PbW4qfPABtSnpfYNi7MUXHdy4cTQxBlAViX1j/vBZpTg/jEJRUykLa2vUqmQjf6lERnjeVcles/PnKaU+l6Ol2hMTpjqWTpv4CcuitUg7O8rbMxmNmupiqaQqqfRk0E+laPVQPm/CYEMheo32djoHr2nKZoHVVQsbG5bn7ePr0prEWDjMuyNpCbpluQiFjCDr69PeIANX2P71vw4jnba9cNl4nKI6RkfL+Iu/yEF4fESACVIBE4Rj4FFZYs895yAWO973q5VpHyDRyZEW8/OWF9SZyZg4Bl7Twyn6o6PuvlOO2axJ319bMwIoGiXT/9CQ44mrdBr44IMQbt/eK8b6+owY6+8/mhjL5eBVxnb7xtraNHp6XC9Ha2GBWpU7O/CmKlmEcqsyHicjf3e3C63hxVwsLZnqGHvHeJoxFCLhtr1NgxCxmPFsWZaqiDONXI7S7lMpM13Jn1tLi2lXJhIaSmmk0worK3ZlTdHea49GNUIhhVDIRSSiKhOW9N6hEL1vb6+Lb30rUjkbiTqOyejudnH79iNGJIU9iAATsLi4iHPnztX6GIJwZjgoS+z55yly4DiplWmfyedpBdL4uBGeOzskUjgriwvsra3GL7ZfptrWFq0NmpwMpt/HYiTiOH1fKXruBx+E8N57NKG6s7NXjF2/Xsb580cTY8UiTT7OzOz1jcVi1HZsaqLK1NKSCWHd2iJxpTW1FpNJXakuUcWuv59anFtbVqA6RsGxwagK8phRxW1nR1VEHVUGSyXyjtGkpcbGhoWlJdtrV2qNyudPPr32dhqYoHgMqsatrFiV1w5eu1ImBZ9botEo5au9804IOzv03fJwhutS6/bDDzOH/6AbGBFgArLZLFp2u2cFQXhiTiJLzE+tTPvMxgZlZ01OGq8a5VlR66652Zi5e3rMcvD9HBCbm6qy2zKYvt/SQun7w8NmAnNrC7hzhypju8VYb2+wMnaUFq3rUvuVxZj/PByf0dpKxvjVVZqKBEiEcqvStoOtyrY2MvJ3dbkolxUWF6k6trxMAi6VMlU1gLxjoRCFpuZyqiLAXMRivJrIfL7FIlXbqF0JAApaU7uyudm0Kzs6yAPG17e2ZlVem67Nsuh1bZsrZMC9exbK5b2KdmBABNhhEQEmSAtSEKrM5qbCvXvVzxJjtrdpQOCTT07etA+YgFSOtKA9gvAS5LU2qfuWRZ/F6CgtB99veGF9XWFigtL3/WGrra0U+Do8bNYnbW0BH35oxBgvz6YoCRcvvODglVeoMnZUv9zGhvGN+dumADwjO/vXuFXJkR4sqlpaTKsyEiERNzBAC8TX1ixMT9PAgr865jhm0jGRoEXjZOZn7yFlmBWLZrekUi4yGYWFhb3tykiEXieZpP2gvBEgn9dYXqadkRRTYZZ3j43t/6F1dDgYG5MW5GEQASZga2sLrce1Y0UQhAM5qSwx5iDTfl+fxjPPVN+0D5AYmJ6mFiXvEXQc06K0LGM6j0SoQjgyQkGsu1uHWgMrK1QZm562vXBSgKJARkZcXLxo2puZjBFj4+NBMdbTY8TYwMDRxVguB8zNkRjb7RtrbSVDfjRKlav5eWr50d5KWvfDhnhuVQJUHRwYcNHZ6SKfV5ibo52Vq6v+6hjFXNAUIrUM83nltRT9Zv5yWaG5WSMcduG6tBVgcZHalX5zPrcrOzqousg7NrNZYHGRBNy9e/uP98ZiGvPzkgN2GESACVheXkZvb2+tjyEIDQNniT14YHveompliTG1NO0zmQwwMRGMtCgWyc/EuxZ53VEiYZaD0yRiEI6TmJoyi8aZ7m6N4WESmHxdmQxw756NW7dCGB83k4R+MXbjRhmDg0cXY6VS0Dfm91Y1NdFkaGsrVa4WFkyrkpeHOw5He1AArFJAczNVCM+fd2Db5DebmaEKGVfHtraC1TFuh+ZyyhN8sRi1MSnXCxVBRqJtYYHiLticrzU/h/5ednS46OoiD9g3vxndsyIJoO9teVmS8A+DCDBBWpCCUCNOMkvM/561NO0zKyvUVpyYMCI0n+eYBDKYs6Do6jJ+sf2mSTnFf2LCtDyZvj6zCqmpif4smwXu3t1fjHV3U2v4xo0yLl48uhhzXbrGmRmaqvT7xjhCg7PD1tZomrRcpupgOm3aivG4aVXyzw0MkH9rc5N+bnzcqiwPp+pYoWDiJpqaSHxRdYxyvSgpn838JLR4sfj6+t52JVXp6O/mnTsWAEnCPw5EgAmSAyYINYazxO7etb0bdbWyxPzU2rQPmEiL8XGTlq81Kit8SMg0NdH9SClKxR8ddTE46HoBsH7KZWoJTk5SFYoDSXmxOKfv87Vls6YyNjYWFGNdXaYyduGCfiJBvLlpfGNc+WK6u02rMp2mliMHxGazplVp28FWZTJJrcr+fvryOO1/epqWZ/Oey91tUaXoddlw39SkEYvB83olEmaP5eKiaVdqDW+gZDehkMbKigiwwyACTJAKmCDUCSedJcbU2rTP7Bdp4Tjwpgi5EgNQy8u/HHy/qIli0axCWlgIrkIaGCAx5hdy5NGzcOtWGGNjlleFYjFGlTFqbT6JGNveDvrG/Kn1iYTGhQu0BLxQ4PagadfSmiNVEUqmVRmNkjgdGHDR3u5ibc3yhCh7xzY2gtUxXnFULJInjfdR0iJx+tyjUTpTKKSRzSr87u9G9m1BRqMai4siwA6DCDBBPGCCUIecZJYYUw+mfWZjQ2F8nFqULArJu0bGc8uCJ4Kam2k5+OjowWKxUKBrm5wMXlsoFFyFxK+Zy1Hkwu3bYXz6aVCMdXaSGLt+ndqiTyLG2A/GvjF/SGpTUzDIdXGRhGSpBG95OJ2LqmLt7VSl4xT/wUGqju3skODjCpy/Oqa1EWRtbfS5snesUCBhFY/DC9v9kz8JeV41Py0tLmZmJIbiMIgAE2QKUhDqmJPOEmPqwbQP0I1/YSEYaQEYM7nrkojiClgyqXHpEiXoH3TG7W1aNj41ZXvVJYCqa7wK6dw54//K5agyxmIslwuKsStXqDI2NLR/W/Qw1+r3jfFqK8D4v/r7XUQiGuvrwUyyfJ4EFUCp+rwjEqAKFlfHEgmNxUVq9/L2AX91jCuN4TC1K4tF2nCQy1Er80c/sr0NBH76+hzcvy8xFIdBBJggLUhBOAWcdJYYUy+mfT4LR1r4q1i8xNpxEBBA/f1uJZrC9aYrd5PJmFVI/l2QvEJpaMhFb69pcW5vmzalX4wpFRRjw8NPJsYAqnCxGPMLRYB8Y4ODJKiyWRV4juPQ35dymQNwTasyFCIhNzjooq+PMsLYOzY3R9UxnqxkuDoWCgG//duRPcn5PLzw4IFUwA6DCDBBkvAF4RRx0llifurBtM9ksybSgsUCG/htm9plLIBCIRKMIyP7Lwdn0mnKGJuctLxqEkCVP/8qJGZ7G7h/nypjDx8GxVhHB4mxV145HjGWz5s9lQsLe31jg4M0VVkskm9sft7yKpfZLLUUSYBpr1UJAJ2dZOQfGKDKGv/s9HTQO1YsApal8b3vhVEqKe/nw2ETrPvpp+IBOwwiwATZBSkIp5BaZIkx9WLaZ1ZXyS82OWl71RnHgbev0HXhfR68V/LSJbPKaD9SKRJjU1PBCIlEglYhjYwEr3N7G3jwgMTYJ5+Yn2Ex9vzzLm7cKGNk5OBq3OPCvjEWZH7fWDTKuWEubFtjaSnYqtzZgSdYtaY2I8dzxGLGyN/T4yKVMtWx+Xmqjn3jGxEUCizAaHqyWFTo6nJw9660IA+DCDBBWpCCcIqpRZYYU0+mfYBEF6fGz82ZKp3rUqXGXzUCqHo3OkqVsUc1AVZXWYyZz5h/fmRk73LxfJ7E2K1be8VYMknfzY0bZYyOPrkY05rOx61Kf+WOF4BzqzKVos9lZYVak7w8vFzmzDDttSppdZPG4KCDgQH6IOfmLLz5Zhzz8zZKJQqUbW6mrLLhYRd/9Ee5g44p7IMIMEFywAThDFCrLDGmXkz7TKFgIi2C+xo1QiHKv/JHV/T1Udjr0NDBrVStTfr+9HSw8tTZSSJkaCgo5liMcZtytxh77jlahzQycjwt3HRaeZWx5eWgb6yri1qVvb0ucjnlVbb4+9reVt6+TkB7vi+AKmUDAy6+850w/uIvQkilaOVRPE7X8Xf/bgm/9Eu7zGHCIxEBJkgFTBDOELXKEmPqybTPbG6aSAte5s1VMcvSKJWC04aDg9RiHBg4uILH6ftTU+SJ869C6ukx6fvxuPnzfB54+NDC7dshfPyx7bUCWYw9+yxVxi5dOh4xViiYvDFeCs4kEsb7BdDz/K3KcjnYqmxuplblw4cWvv1t8oE5jotYTKG1Ffja1/L423+7vOcMwsGIABOwsrKCnp6eWh9DEIRjphZZYn7qybQPoJKlRZEW09NWYNVONEr3vJ0d5VXGeBJyZMRFT8/B90THgRfrMDtrXlcpagEODdEkpr/RUCgAn3xi4d13g2IMCIqxp546ns+pXKbvY2bGxuysFVhkHomQb+zCBRfNzRrLy2byUmtUFnJT1fAHP7AxMUF97VJJo6eHfGc/9VNSATssIsAEbG5uor29vdbHEAShStQqS4ypN9M+YCItJiaoOsRYFhCJaJTLak/FiP1ij4pNLJVM+j6vVuLX9a9C8nu/WIzdukVizO/jSiZJsL7yClXGjsMtojWwtmZ8Y1yp5HPyvsnubhfptJm8LBaBb3wjAstC5ZeDS5eoFbmzo/B7vycesMMgAkyQFqQgNAicJTY+bnnrZE4iS4ypN9M+k80Ck5MUaeEXP+GwRjhMAsNv4O/u1hgdDS743o+dHbreqSkSMPyZ2zZ97iMjNK3oj6hgMcZtSr84YjHGlbHjsu5ubQGzs7bnG/Pf/js7yTc2MOCiVAL+0T9qxvY2LfYuFBwMDFhobaXVRSLADocIMAG5XA7NJ+2QFQShZtQyS4ypN9M+s7amMDZGE49+k30sRmGshYIKVLX8y8EfNXGaz1PFbXLSDpjjw2GTvr87o2xnJ1gZ84ux9nYSra+8QmLsUULwMLBvjA36/ipgSwvlgP2n/2RX9kO60Jp8Y1/8Yglf+1rh4BcW9iACTMDCwgL6+/trfQxBEE6YWmaJMfVo2geoWjc3Z2FsLBhpYVkkxrSm9T98q4xEUMkHcwLJ+fuRywFTU7a3CoiJRmnB+NDQ3gXjOzvA2BiJsQcPbGxsmAfb2kiM3bhRxjPPHJ8YcxzyzHF1bHsb+A//gd6fQm8dJJOWeMCOiAgwQVqQgtDgFIvAp5/uzRK7coUCS6uZJean3kz7TKFAuyPHx22srvoFE+1bLJfhLesGqFI0POzi0iUXbW2PvpdubRkx5hdVHBjL6fuPEmObm0YItrVpPP20EWPHNfXKvrGvfrXJW32UyZRw9aqNp55y4DgKv/IrUgE7DCLABMkBEwQBwP5ZYvE4ZYk9/XT1s8SYejTtM+k0R1pYyGaNKmpupvU+bEhnOjuNX8wfSbEfm5sU+DoxEUzfb2mh9P3h4b3p/cUiizEb9++HDhRjTz/92e//OHzzmxFkMgrRqEYm46C7m4YGEgmNf/pPi5/9AoKHCDBBKmCCIATgLLEPP7SRSpksscuXHTz7bPWzxJh6Ne0DJpR1fNzG1FQweiKRIC9XLqc8f5tSNAU5OkpTkJ+1G3J9XWFigrxoOZ+3vbWVqmvDwy7a2/eKsfFxI8Y2NowYa23VeOop8ow988zRxdj4uIW33oqgvV2jXF5HKNSJzU2FN94oYnTUPdqLNigiwASsra2hq6ur1scQBKEOmZ9XuHs3hKWl2mSJMfVq2geoBcmRFvPzRhFGIkA87gJQ2Noy5v1wmLxebLx/lF9Ma2BlhSpj09N2IL8rmaRVSBcv7o3GKBaBiQkjxlKpvWLs+vUyLl92D/3ZjY9bePvtECYmChgZacLNm2URX0dABJiAjY0NJJPJWh9DEIQ6ZmWFssRmZ2uTJcbUq2mfyeWAiYm9kRbNzby4GoHQ1XgcGB4mj1tHx6PP7rpmFdLUVDB9v7tbY3iYqoK7BVWxSGuZWIytrx+PGJN7x5MhAkyQFqQgCI/N5iYJsYmJYJbYCy84j0yLrwb1atpn1tcp0mJyMhhpkUxSC5J3L5o/p7DX4eHPrujxKqSJCbp+f1xEX59ZhbR7IrJUClbG/GIskQiKsUctKAfk3vGkiAATsL29jfhxuDMFQWgYslng3j3KEuOQ0pPOEmPq2bQPkFian6dIi9lZK9CKpClJjUzGwo4vxeHcOVoOfvHiZwvJcpkiMyYnKTKDvw/2nXH6/u7XKZWoMnb7to1792ykUuZsLS0aly65uHGjjGefdfYVY3LveDJEgAmYm5vDwMBArY8hCMIpJJ+nLLGPPzZZYh0dlCV20ib5ejbtMzs7JHp2R1rE4xqJhIbrKqRSyhNRtk3t1dHRvUGt+1EsmlVICwvB/LKBARJjg4N7hwD8Yuz+fRtra3vF2PXrJMZu3Qrht387gomJEkZGwvj5ny/KIu4jIAJMwOzsLAYHB2t9DEEQTjH1kiXG1LNpn9naAsbHaTWUP9IimdSIRjWKReVNoQK0HJz9Yl1dn32PLhRIkE5OBgVpKAQMDpIYO39+73dTLlPu2a1b9H36xVg6Ddy/b6Ovz0UymYPWcWxuWvjlXy6ICDskIsAEFAoFNB1XdLIgCA1NvWSJMfVu2gdMpMXEBJnrWTBaFtDVRdWqbFYFzPttbTQBOTLyeNOo29skqqambKysmNeJRMwqpHPn9lbYWIxxm/K73w2jWKSfs22Nq1ddbG8Dra3Ab/7m9nF8HA2DCDBBjJSCIBw7WtON++7d2maJ+al30z5AgmdmxsL4eHCBd1MTmfctC0ilrEAcRW8v+cWGhh5vQXcmA0xPU/r++nqwwsbm/f3WKZXLwE/9VAsiEQqkLZVKuHHD8jxuf/zH2WP4BBqHmgowpdQggN8C0AtAA/iG1vrru56jAHwdwBcBbAP4x1rr93a/lgiwo7O+vo7Ozs5aH0MQhDPK3JzCvXu1zxJj6t20z+RywOQkRVr4F3EnEhrt7RqOA6ysmAlIy6LW4ujo/q3F/UinKWNscjIYmxGPB1chMb/wC3FsbQHt7UA2W0QiEcHGhlTAjkKtBdg5AOe01u8ppRIAbgP4r7TW933P+SKA/w4kwP4WgK9rrf/W7tcSAXZ0RIAJgnAS7JclNjLi4sqVk80SYx5l2r982cGFC7U37TMHRVr09NC+x0KBxBjfuqPR4HLwxyGVIjE2NRVchZRI6MprufjgAxtf+UoTHAcolx2EQjZsG/jqV8UDdlgOEmCfsSTheNBaLwJYrPw+o5R6AOA8gPu+p/0MgN/SpAj/RinVrpQ6V/lZ4RjIZrMiwARBqDo9PRqvvVbGxobCvXuUJTY+Tr8GBynU9SSzxCyLRMrQkBsw7S8tKSwtherKtN/ZqdHZ6eCVVxwsLCiMjVErdWWFFGIoRFOOlqWxtUWLvR8+tPDwoYVEgvxio6N7E/P9dHRodHQ4uH7dweoqizHy8t29a+PuXUri7+nRWFpSyOeBZBK4dIliLoTj4cQ9YEqpIQB/CeCK1nrL9+ffA/BrWusfVf79+wB+SWt9y//zUgE7OmLCFwShFmQywEcfBbPE+vo0rlw5+Swx5jSY9pmdHfLZjY8HjfXNzUBXlwOlFFZXrcAuye5u8osND+8Nad0PHhCYmrIxPW3h+98PYWcHiMWApqYynn8eyOdlGfdRqGkFjFFKtQD4vwH8ol98HYaVlRW8+eabCIVCcBwHr7/+Or785S9jaWkJzc3NsG0bW1tb6O7uRiqVgtYa3d3dWF5eRkslYS6bzaK3txerq6tQSqGjowOrq6tobW2F4zjI5XLo6+vD0tISwuEw2trasLa2hra2NhSLReTzee/xSCSCRCKB9fV1JJNJ5PN5FAoF7/GmpibEYjFsbGygs7MTmUwGxWLRezwWiyESiSCdTqOrqwvpdBqlUsl7/DivyXVdWJZ1pq7pLH5Pck1yTWftmrLZDM6dK+Ly5T789V+nMTPTisnJMO7fz2NwMI7BwXX09m6jv/9krykWy+Onf7oPd++uYWYmgfX1BN5/P4eHD+NoairgwoUMXnmlHalU7b+nnp5WdHY6WFrKI5frx/vvZ5FOR7CxEUM2m0V/fwQdHUqUx7AAABIFSURBVDvI5YooFrvx8OEWxsZsxONNaG7ewNWrTejoyKBcPvh7AjLo7y/i2rU+/OVfWmhpsZHJRLC2loXWTdA6j48/piDZ0/J3rx7+93SgJjqpCphSKgzgewD+VGv9L/d5/P8A8AOt9b+v/PtDAK/ubkFKBezoSBCrIAj1QLFI5vj79+sjS4zZz7QfDgOjo/Vl2geoYrW8TJEWk5PBSItz51zE43Q9/gnLcNj4xfr6Hr0c/JvfjCCTUWht1VhaSuPcuTak01IBOwq1NuErAP8ngJTW+hcPeM5/AeCfw5jwf11r/bndzxMBdnRknYQgCPWE4wBjYxbu3auPLDHmNJn2AYqNmJ2lFUh+wRWNAv39DkIhYGPDwtpasH05MkKxHO3te3XA+LiFt96KoL1dIxrdwc5OFJubCm+8UcToqPjADkOtBdiPA/ghgLsA+Jv7FQAXAEBr/a8qIu03AHwBFEPxT3b7vwARYE+C5IAJglCP1GOWGHMakvb9bG+bSIuNjWCga08P3X6XloLTjx0dZjm4/7/Rx8ctvP12CB9/nMHlywncvFkW8XUEJIhVwMbGBpLJZK2PIQiCcCD1liXGHGTav3jRxTPP1Jdpn0mlTKSFP9D13DmNtjYXpZLC7Kzl7fbkpd4jIzTtODNDAmxysojh4YgIsCMiAkzA2toaurq6an0MQRCEz6TessT8nIakfT+uCywsKIyP05l5EpUjLWIxjVxOYW7OXE8qpXD/vo2LF120tm4BSEgL8ojUxRSkUFtyuZwIMEEQTgX1liXmp69Po6+vHDDtp9MK//E/hvDee/Vn2rcsYGBAY2CgjGLRRFosLytMTZHAbW6mSmM4DKyuWvirvwqhWATm5iwUiyH82I/Rtbz9dgijo2LCPw5EgDUQfX19tT6CIAjCoUgmNX7iJ8q4ds1kic3OWpidtWqeJRaPA9euOXjhBSdg2v/4Yxsff2zXpWk/EgGeftrF00+72NoCJiZsjI+TJ+zhQxo/7ezUiEQ04nESmNlsAuGwxqVLDnK5OrmQM4AIsAZiaWlJTPiCIJxKEgng85938OKLDh48IIFDSfZhdHRoXL1Ky6UfFa1QLU5T0r6f1lYSkNeuOVhephbl1BQt7l5fp3/v7NTo6NhGPh/DD38Ywo//uKwhOi5EgDUQ4XC41kcQBEF4ImIx4OWXHVy54nhZYqmUwttvh/Dee7XPEmtv1/j852nNj9+0f+eOjQ8/tOvWtN/bq9HbW8bnPkeRFu+8Qx9gPg9sb0dQyR8VjhERYA1EW1tbrY8gCIJwLEQiwJUrFFPhzxJ7550Q7typfZZYOAxcvuzi8mU3YNqfmqJf9WraD4WA4WEXFy5oDA4W8eGHNlIpC/E48MILZThODUqMZxQRYA3E2toamuup/i0IgvCE2DbwzDMunnrKxfS0yRK7dYsqTvWQJXbaTPsApelnMgpf/GIZqVQKHR0dlSR8mYA8LkSANRBSARME4axiWVS5GR52A1liH35IbcpLl2qfJXaaTPs3b5bx1ltUmotGY0inFTY3Fb70pVJtD3aGEAHWQBSLMjosCMLZhyIXSoEssY8/tvHwoY2REYqw2G/9zklxGkz7o6Mu3nijiLffDmF8HBgd1fjSl0qSAXaMiABrIPL+KGRBEIQzTj1niTH1bNofHXUxOlrE9PScTNBXARFgDYTkgAmC0IjUc5YY81mm/fZ2jWeeqY1pX+4d1UEEWAMhOWCCIDQy9Zwl5mc/0/7mZu1M+3LvqA4iwBqISD3NOguCINSIes8SY+rFtC/3juogAqyBSNRy/EcQBKHO+KwsseefJyN8rTOsa23al3tHdRAB1kCsr6+jReKMBUEQAhyUJfbuuzbu3KEsseeec9DUVOuT1sa0L/eO6iACrIFIJpO1PoIgCELdsjtL7O7dEJaXg1liV644dbGW5yRN+3LvqA4iwBqIfD6P1tbWWh9DEASh7uEsseVlyhKbm6uvLDE/1Tbty72jOogAayAKhUKtjyAIgnCq4CXVGxskxCYng1liL7zgoLu7PoRYtUz7cu+oDiLAGgjJchEEQTgayaTGT/5kGS+9tH+W2NWrZZw/Xx9C7LhN+3LvqA4iwBoIyXIRBEF4Mh6VJdbZSVliFy/WPkuMOQ7Tvtw7qoMIsAaiqR5GeARBEM4Au7PEPvrIxvq6wg9+EEIiQUJsdLT2WWLMk5j25d5RHUSANRCxWKzWRxAEQThTHJQl9td/HcIHH9RPlpifxzXtczjt1FQfhobCuHmzLMu4jxGldX30rB+Xd955R1++fLnWxziVTE9PSxlZEAShirguAlliAIm0Z58lkVaPxSTXBWZmLK+dCgCrqwr37oUwPOygpWUN4XAnNjcV3nijKCLskLz33nu3X3vttRu7/1wqYA1EZ2dnrY8gCIJwpjkoS+zOHWpTPvWUg+efr48sMWY/0/7f/E0UWmssLlpQKomXXtJobwfefjuE0dFirY98JhAB1kBkMhlJMxYEQTgh9ssSe/DAZIlduVI/WWIMm/b/7M9chEIay8sWtrdLiEYjCIc1lpaquHSywRAB1kAUi/JfLYIgCCfNflliY2P068IFCnWtlywx5vx5F5mMwrVrDpaWsgA6kMko9PVJ+/G4ECnbQEiWiyAIQu3gLLHXXy/i8mUHtk3eqz/6ozD+9E/DmJ+vk+wKADdvlrG5qZBOK3R0tCKdVtjcVLh5s1zro50ZRIA1EEtLS7U+giAIQsPDWWI/93NFXL3qIBIBFhcV/uzPwvjud8OYmrJQ6/m40VEXb7xRRCKhMTaWRyKhxYB/zEgLsoGQGApBEIT6IRYDrl93cPWqg4cPaeF3PWWJjY66GB0tYmUljZ6eaG0OcYYRAdZARHan6wmCIAg1JxIBrl518NxzDj791MJHH9VXlpjcO6qDtCAbiHQ6XesjCIIgCAdg25RW/7M/W8JP/mQZyaTG9jbw7rs2fv/3I3j/fRu12Ist947qIBWwBqKrq6vWRxAEQRA+A8sCRkZcjIzUR5aY3DuqgwiwBiKdTqO5ubnWxxAEQRAek3rIEpN7R3UQAdZAlEqlWh9BEARBOAK1zBKTe0d1EAHWQEgOmCAIwumGs8SuXQPu37fx6ac2ZmYszMxYOHdO48qVMs6fP14hJveO6iAm/AZCcsAEQRDOBq2tJ5clJveO6iAVsAZCeviCIAhni0dlibW2aly58uRZYnLvqA4iwBoIu1ZpfoIgCEJV4SyxZ591MDZGWWJbW8eTJSb3juogLcgGYmtrq9ZHEARBEKpIKHRwltgf/MHRssTk3lEdpALWQHR3d9f6CIIgCMIJcJxZYnLvqA4iwBqIVCqFeDxe62MIgiAIJ8iTZonJvaM6iABrIPRxjcQIgiAIp46jZonJvaM6iABrIKSMLAiCIDxultj4uIW33w5hdnYYg4MWbt4sY3TUrfXxzwwiwBqI5eVlXLx4sdbHEARBEOoAzhJ78UUH9+9TS3JxUWFxMYxSCXjwwMbFiy5aWjaRyXTirbcieOONooiwY0IEWAPRclKbWwVBEIRTw35ZYn/1VyHs7ACOYyGZjOPiRWpDvv12CKOjxRqf+GwgMRSCIAiCIHhZYn/v7xWRSGi0t2sUCgrT01QRSyQ0lpZENhwXUgFrILLZLDo7O2t9DEEQBKGOCYWAK1ccbG0plMvAyso2IpEE0mmFvj5pPx4XImUbiN7e3lofQRAEQTgF3LxZRjqtEA4Dly41IZ1W2NxUuHmzXOujnRlEgDUQq6urtT6CIAiCcAoYHXXxxhvUihwf30EiocWAf8xIC7KBUErV+giCIAjCKWF01MXoaBFzcysYGIjU+jhnDqmANRAdHR21PoIgCIJwypB7R3UQAdZASAtSEARBOCxy76gOIsAaiNbW1lofQRAEQThlyL2jOogAayAcx6n1EQRBEIRThtw7qoMIsAYil8vV+giCIAjCKUPuHdVBBFgD0dfXV+sjCIIgCKcMuXdUhxMRYEqpbyqlVpRS9w54/FWlVFop9UHl11dO4lyNxtLSUq2PIAiCIJwy5N5RHU6qAvbvAHzhM57zQ631tcqvr57AmRqOP/zDP6z1EQRBEIRThtw7qsOJCDCt9V8CSJ3EewkH8+1vf7vWRxAEQRBOGXLvqA71lIT/Y0qpOwAWAPwLrfVH+z1pZWUFb775JkKhEBzHweuvv44vf/nLWFpaQnNzM2zbxtbWFrq7u5FKpaC1Rnd3N5aXl9HS0gKAllL39vZidXUVSil0dHRgdXUVra2tcBwHuVwOfX19WFpaQjgcRltbG9bW1tDW1oZisYh8Pu89HolEkEgksL6+jmQyiXw+j0Kh4D3e1NSEWCyGjY0NdHZ2IpPJoFgseo/HYjFEIhGk02l0dXUhnU6jVCp5jx/nNcViMUxPT5+pazqL35Nck1yTXJNcUz1d06uvvopcLnemrukkv6eDUFrro8mlQ6KUGgLwPa31lX0eawXgaq2zSqkvAvi61vqp/V7n+9///iqA6Wqe9aySSqW6Ojo61mp9DkEQBOH0IPeOJ+bia6+91r37D+tCgO3z3CkAN7TW8oULgiAIgnDmqIsYCqVUn6psilZKfQ50rvXankoQBEEQBKE6nIgHTCn17wG8CqBLKTUH4H8BEAYArfW/AvBzAP6ZUqoMIA/gH+iTKs0JgiAIgiCcMCfWghRqi1LqCwC+DsAG8Jta61+r8ZEEQRCEOkYp9U0AXwKw8jj2IeFw1EULUqguSikbwP8O4KcBPAfgHyqlnqvtqQRBEIQ659/hszM8hSMiAqwx+ByAMa31hNa6COBbAH6mxmcSBEEQ6hjJ8KwuIsAag/MAZn3/Plf5M0EQBEEQaoAIMEEQBEEQhBNGBFhjMA9g0PfvA5U/EwRBEAShBogAawzeBfCUUmpYKRUB8A8AfKfGZxIEQRCEhkUEWAOgtS4D+OcA/hTAAwC/d9CuTUEQBEEAvAzPdwA8o5SaU0q9WesznSUkB0wQBEEQBOGEkQqYIAiCIAjCCSMCTBAEQRAE4YQRASYIgiAIgnDCiAATBEEQBEE4YUSACYIgCIIgnDAiwARBOLUopX5VKfXWIx7/SCn16jG8z08opR4+6esIgiAwoVofQBAEoVporZ8/ptf5IYBnjuO1BEEQAKmACYIgCIIgnDgiwARBOBUopX5JKTWvlMoopR4qpV6rPBRRSv1W5c8/Ukrd8P3MlFLq71R+/6tKqT9QSv1u5bnvKaVe3PXcX1ZK3VdKbSil/q1Sqqny2KtKqbldz/0XSqkPlVLpyms2+R7/H5RSi0qpBaXULyiltFLqUtU/JEEQTg0iwARBqHuUUs+A1mm9orVOAPjPAUxVHv4vAXwLQDtox+lvPOKlfgbA7wPoAPA7AP5QKRX2Pf7zldceBfA0gP/pEa/19wF8AcAwgBcA/OPKWb8A4L8H8HcAXALw6mNdpCAIDYUIMEEQTgMOgCiA55RSYa31lNZ6vPLYj7TWf6y1dgD8XwBePPBVgNta6z/QWpcA/EsATQA+73v8N7TWs1rrFID/DcA/fMRr/brWeqHy3O8CuFb5878P4N9qrT/SWm8D+NVDXqsgCA2ACDBBEOoerfUYgF8EiZkVpdS3lFL9lYeXfE/dBtCklDpowGjW95ougDkA/fs9DmB612O72f2+LZXf9+96Hf/vBUEQAIgAEwThlKC1/h2t9Y8DuAhAA/jaEV5mkH+jlLIADABY2O9xABd2Pfa4LFZed7/XFARBACACTBCEU4BS6hml1H+mlIoCKADIA3CP8FLXlVKvVypkvwhgB8Df+B7/slJqQCnVAeB/BPC7R3iP3wPwT5RSzyql4gD+5yO8hiAIZxwRYIIgnAaiAH4NwBqo9dcD4JeP8Dr/D4D/GsAGgP8GwOsVPxjzOwD+XwATAMYB/K+HfQOt9Z8A+HUA/x+AMRiBt3OE8wqCcEZRWutan0EQBKHqKKV+FcAlrfUbBzw+BeAXtNZ/fszv+yyAewCiWuvycb62IAinF6mACYIgHDNKqZ9VSkWVUkmQV+27Ir4EQfAjAkwQBOH4+W8BrIDamA6Af1bb4wiCUG9IC1IQBEEQBOGEkQqYIAiCIAjCCSMCTBAEQRAE4YQRASYIgiAIgnDCiAATBEEQBEE4YUSACYIgCIIgnDAiwARBEARBEE6Y/x952qNFt2CKyQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "xvals = np.arange(2)\n",
    "b = varying_slope_fit['a'].mean()\n",
    "m = varying_slope_fit['b'].mean(axis=0)\n",
    "for mi in m:\n",
    "    plt.plot(xvals, mi*xvals + b, 'bo-', alpha=0.4)\n",
    "plt.xlim(-0.2, 1.2)\n",
    "plt.xticks([0, 1])\n",
    "plt.title(\"Fitted relationships by category\")\n",
    "plt.xlabel(\"shipping\")\n",
    "plt.ylabel(\"log(price)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is clear from this plot that we have fitted the same price level to each category, but with a different shipping effect in each category. There are two categories with very small shipping effects, but the majority bulk of categories form a majority set of similar fits."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial Pooling - Varying Slope and Intercept\n",
    "\n",
    "The most general way to extend partial pooling to this linear model is to allow both slope and intercept to vary by category. That is to model the relationship between measured log(price), the prevailing price level, and the effect of who pays shipping at which the measurement was made, where the category affects both the price level and the effect of making the measurement at different shipping.\n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta_{j[i]} x_{i} + \\epsilon_i$$\n",
    "\n",
    "In this linear model, the measured price level in a product $y_i$ is a function of sho pays shipping at which measurement took place, $x_i$, with parameters $\\alpha_{j[i]}$ (the prevailing price level in the category) and $\\beta_{j[i]}$ (the influence of who pays shipping, which varies by category), and residual error $\\epsilon_i$.\n",
    "\n",
    "In data:\n",
    "\n",
    "* J is the number of categories (int)\n",
    "* N is the number of samples (int)\n",
    "* category is a list of N values from 1-689, specifying the category index each measurement\n",
    "* x is a vector of indices for which shipping the price measurements were taken at each product\n",
    "* y is a vector of log(price) measurements, one per product/sample.\n",
    "\n",
    "Define parameters:\n",
    "\n",
    "* a (vector, one value per category), representing $\\alpha$, the vector of prevailing price levels for each category.\n",
    "* mu_a, a real corresponding to $\\mu_{\\alpha}$, the mean price level underlying the distribution from which the category levels are drawn.\n",
    "* sigma_a is $\\sigma_{\\alpha}$, the standard deviation of the price level distribution underlying the category levels: variability of category means about the average.\n",
    "* b (vector, one value per category), representing $\\beta$, the vector of who pays shipping effects for each category.\n",
    "* mu_b, a real corresponding to $\\mu_{\\beta}$, the mean shipping effect underlying the distribution from which the category levels are drawn.\n",
    "* sigma_b is $\\sigma_{\\beta}$, the standard deviation of the shipping effect distribution underlying the category level effects: variability of category means about the average.\n",
    "* sigma_y is $\\sigma_y$, the standard deviation of the measurement/sampling error: residual error of the observations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "varying_intercept_slope = \"\"\"\n",
    "data {\n",
    "  int<lower=0> N;\n",
    "  int<lower=0> J;\n",
    "  vector[N] y;\n",
    "  vector[N] x;\n",
    "  int category[N];\n",
    "}\n",
    "parameters {\n",
    "  real<lower=0> sigma;\n",
    "  real<lower=0> sigma_a;\n",
    "  real<lower=0> sigma_b;\n",
    "  vector[J] a;\n",
    "  vector[J] b;\n",
    "  real mu_a;\n",
    "  real mu_b;\n",
    "}\n",
    "\n",
    "model {\n",
    "  mu_a ~ normal(0, 100);\n",
    "  mu_b ~ normal(0, 100);\n",
    "\n",
    "  a ~ normal(mu_a, sigma_a);\n",
    "  b ~ normal(mu_b, sigma_b);\n",
    "  y ~ normal(a[category] + b[category].*x, sigma);\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_eb106750305a375f12e2886d610f78d8 NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "varying_intercept_slope_data = {'N': len(log_price),\n",
    "                                'J': len(n_category),\n",
    "                                'category': category+1, # Stan counts starting at 1\n",
    "                                'x': shipping,\n",
    "                                'y': log_price}\n",
    "\n",
    "sm = pystan.StanModel(model_code=varying_intercept_slope)\n",
    "varying_intercept_slope_fit = sm.sampling(data=varying_intercept_slope_data, \n",
    "                                          iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "xvals = np.arange(2)\n",
    "b = varying_intercept_slope_fit['a'].mean(axis=0)\n",
    "m = varying_intercept_slope_fit['b'].mean(axis=0)\n",
    "for bi,mi in zip(b,m):\n",
    "    plt.plot(xvals, mi*xvals + bi, 'bo-', alpha=0.4)\n",
    "plt.xlim(-0.1, 1.1);\n",
    "plt.xticks([0, 1])\n",
    "plt.title(\"fitted relationships by category\")\n",
    "plt.xlabel(\"shipping\")\n",
    "plt.ylabel(\"log(price)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While these relationships are all very similar we can see that by allowing shipping effect and price both to vary, we seem to be capturing more of the natural variation, compare with varying intercept model. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contextual Effects\n",
    "\n",
    "In some instances, having predictors at multiple levels can reveal correlation between individual-level variables and group residuals. We can account for this by including the average of the individual predictors as a covariate in the model for the group intercept."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create new variable for mean of shipping across categories\n",
    "xbar = df.groupby('category_name')['shipping'].mean().rename(category_lookup).values\n",
    "x_mean = xbar[category]\n",
    "\n",
    "contextual_effect = \"\"\"\n",
    "data {\n",
    "  int<lower=0> J; \n",
    "  int<lower=0> N; \n",
    "  int<lower=1,upper=J> category[N];\n",
    "  vector[N] x;\n",
    "  vector[N] x_mean;\n",
    "  vector[N] y;\n",
    "} \n",
    "parameters {\n",
    "  vector[J] a;\n",
    "  vector[3] b;\n",
    "  real mu_a;\n",
    "  real<lower=0,upper=100> sigma_a;\n",
    "  real<lower=0,upper=100> sigma_y;\n",
    "} \n",
    "transformed parameters {\n",
    "  vector[N] y_hat;\n",
    "\n",
    "  for (i in 1:N)\n",
    "    y_hat[i] <- a[category[i]] + x[i]*b[2] + x_mean[i]*b[3];\n",
    "}\n",
    "model {\n",
    "  mu_a ~ normal(0, 1);\n",
    "  a ~ normal(mu_a, sigma_a);\n",
    "  b ~ normal(0, 1);\n",
    "  y ~ normal(y_hat, sigma_y);\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_f9078af3c39f220d302816cbec25dfd1 NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "contextual_effect_data = {'N': len(log_price),\n",
    "                          'J': len(n_category),\n",
    "                          'category': category+1, # Stan counts starting at 1\n",
    "                          'x_mean': x_mean,\n",
    "                          'x': shipping,\n",
    "                          'y': log_price}\n",
    "\n",
    "\n",
    "sm = pystan.StanModel(model_code=contextual_effect)\n",
    "contextual_effect_fit = sm.sampling(data=contextual_effect_data, \n",
    "                                         iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.03229224, -0.26463617, -0.29224872])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "contextual_effect_fit['b'].mean(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(contextual_effect_fit, var_names = ['b']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:pystan:Deprecation warning. In future, use ArviZ library (`pip install arviz`)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "contextual_effect_fit.plot('b');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, we might infer from this that categories with higher proportion of products shipping paid by seller have the similar  baseline levels of price with the categories with lower proportion of products."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "category_lookup['Women/Athletic Apparel/Pants, Tights, Leggings']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "contextual_pred = \"\"\"\n",
    "data {\n",
    "  int<lower=0> J; \n",
    "  int<lower=0> N; \n",
    "  int<lower=0,upper=J> wa;\n",
    "  real xbar_wa;\n",
    "  int<lower=1,upper=J> category[N];\n",
    "  vector[N] x;\n",
    "  vector[N] x_mean;\n",
    "  vector[N] y;\n",
    "} \n",
    "parameters {\n",
    "  vector[J] a;\n",
    "  vector[3] b;\n",
    "  real mu_a;\n",
    "  real<lower=0,upper=100> sigma_a;\n",
    "  real<lower=0,upper=100> sigma_y;\n",
    "} \n",
    "transformed parameters {\n",
    "  vector[N] y_hat;\n",
    "  real wa_mu;\n",
    "\n",
    "  for (i in 1:N)\n",
    "    y_hat[i] <- a[category[i]] + x[i] * b[2] + x_mean[i] * b[3];\n",
    "    \n",
    "  wa_mu <- a[wa+1] + b[2] + xbar_wa * b[3];\n",
    " }\n",
    "model {\n",
    "  mu_a ~ normal(0, 1);\n",
    "  a ~ normal(mu_a, sigma_a);\n",
    "  b ~ normal(0, 1);\n",
    "  y ~ normal(y_hat, sigma_y);\n",
    "}\n",
    "generated quantities {\n",
    "  real y_wa;\n",
    "  \n",
    "  y_wa <- normal_rng(wa_mu, sigma_y);\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_0f1a4680f2b6859ffdb66eb3e65d55ff NOW.\n",
      "WARNING:pystan:Maximum (flat) parameter count (1000) exceeded: skipping diagnostic tests for n_eff and Rhat.\n",
      "To run all diagnostics call pystan.check_hmc_diagnostics(fit)\n"
     ]
    }
   ],
   "source": [
    "contextual_pred_data = {'N': len(log_price),\n",
    "                        'J': len(n_category),\n",
    "                        'category': category+1, \n",
    "                        'x_mean': x_mean,\n",
    "                        'x': shipping,\n",
    "                        'y': log_price,\n",
    "                        'wa': 13,\n",
    "                        'xbar_wa': xbar[13]}\n",
    "\n",
    "sm = pystan.StanModel(model_code=contextual_pred)\n",
    "contextual_pred_fit = sm.sampling(data=contextual_pred_data, \n",
    "                                         iter=1000, chains=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:pystan:Deprecation warning. In future, use ArviZ library (`pip install arviz`)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "contextual_pred_fit.plot('y_wa');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    585.000000\n",
       "mean      33.430769\n",
       "std       22.623688\n",
       "min        4.000000\n",
       "25%       18.000000\n",
       "50%       27.000000\n",
       "75%       44.000000\n",
       "max      181.000000\n",
       "Name: price, dtype: float64"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.loc[df['category_name'] == 'Women/Athletic Apparel/Pants, Tights, Leggings']['price'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mean value sampled from this fit is ≈3, so we should expect the measured price in a new product in \"Women/Athletic Apparel/Pants, Tights, Leggings\" category, when shipping paid by seller, to be ≈exp(3) ≈ 20.09, though the range of predicted values is rather wide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
